-
1
-
-
0030496076
-
Two-dimensional topological quantum field theories and frobenius algebras
-
L. Abrams. Two-dimensional topological quantum field theories and Frobenius algebras. Journal of Knot Theory and its Ramifications, 5 (1996), 569–87.
-
(1996)
Journal of Knot Theory and Its Ramifications
, vol.5
, pp. 569-587
-
-
Abrams, L.1
-
3
-
-
23544453757
-
New variables for classical and quantum gravity
-
A. Ashtekar. New variables for classical and quantum gravity. Physical Review Letters, 57 (1986), 2244–7.
-
(1986)
Physical Review Letters
, vol.57
, pp. 2244-2247
-
-
Ashtekar, A.1
-
6
-
-
0030577671
-
Spin network states in gauge theory
-
arXiv:gr-qc/9411007
-
J. C. Baez. Spin network states in gauge theory. Advances in Mathematics, 117 (1996), 253–72. arXiv:gr-qc/9411007.
-
(1996)
Advances in Mathematics
, vol.117
, pp. 253-272
-
-
Baez, J.C.1
-
7
-
-
0031562874
-
Higher-dimensional algebra II: 2-hilbert spaces
-
arXiv:q-alg/9609018
-
J. C. Baez. Higher-dimensional algebra II: 2-Hilbert spaces. Advances in Mathematics, 127 (1997), 125–89. arXiv:q-alg/9609018.
-
(1997)
Advances in Mathematics
, vol.127
, pp. 125-189
-
-
Baez, J.C.1
-
8
-
-
0032396211
-
Spin foam models
-
arXiv:gr-qc/9709052
-
J. C. Baez. Spin foam models. Classical and Quantum Gravity, 15 (1998), 1827–58. arXiv:gr-qc/9709052.
-
(1998)
Classical and Quantum Gravity
, vol.15
, pp. 1827-1858
-
-
Baez, J.C.1
-
9
-
-
0001903332
-
An introduction to spin foam models of BF theory and quantum gravity
-
H. Gausterer and H. Grosse, Berlin: Springer-Verlag, arXiv:gr-qc/9905087
-
J. C. Baez. An introduction to spin foam models of BF theory and quantum gravity. In Geometry and Quantum Physics, eds. H. Gausterer and H. Grosse. Berlin: Springer-Verlag, 2000, pp. 25–93. arXiv:gr-qc/9905087.
-
(2000)
Geometry and Quantum Physics
, pp. 25-93
-
-
Baez, J.C.1
-
11
-
-
36449001406
-
Higher-dimensional algebra and topological quantum field theory
-
arXiv:q-alg/9503002
-
J. C. Baez and J. Dolan. Higher-dimensional algebra and topological quantum field theory. Journal of Mathematical Physics, 36 (1995), 6073–105. arXiv:q-alg/9503002.
-
(1995)
Journal of Mathematical Physics
, vol.36
, pp. 6073-6105
-
-
Baez, J.C.1
Dolan, J.2
-
12
-
-
0000227933
-
Higher-dimensional algebra III: N-categories and the algebra of opetopes
-
arXiv:q-alg/9702014
-
J. C. Baez and J. Dolan. Higher-dimensional algebra III: n-categories and the algebra of opetopes. Advances in Mathematics, 135 (1998), 145–206. arXiv:q-alg/9702014.
-
(1998)
Advances in Mathematics
, vol.135
, pp. 145-206
-
-
Baez, J.C.1
Dolan, J.2
-
13
-
-
0348163837
-
Higher-dimensional algebra IV: 2-tangles
-
arXiv:math/9811139
-
J. C. Baez and L. Langford. Higher-dimensional algebra IV: 2-tangles. Advances in Mathematics, 180 (2003), 705–64. arXiv:math/9811139.
-
(2003)
Advances in Mathematics
, vol.180
, pp. 705-764
-
-
Baez, J.C.1
Langford, L.2
-
14
-
-
84927103312
-
-
n-Categories Foundations and Applications Berlin: Springer
-
J. C. Baez and J. P. May. To appear in Towards Higher Categories, eds. n-Categories Foundations and Applications Berlin: Springer, 2009. Also available at http://ncatlab.org/johnbaez/show/Towards+Higher+Categories.
-
(2009)
To Appear in Towards Higher Categories
-
-
Baez, J.C.1
May, J.P.2
-
15
-
-
0030578646
-
Higher-dimensional algebra I: Braided monoidal 2-categories
-
J. C. Baez and M. Neuchl. Higher-dimensional algebra I: Braided monoidal 2-categories. Advances in Mathematics, 121 (1996), 196–244.
-
(1996)
Advances in Mathematics
, vol.121
, pp. 196-244
-
-
Baez, J.C.1
Neuchl, M.2
-
16
-
-
66749142122
-
Higher gauge theory
-
A. Davydov et al, Providence, RI: AMS
-
J. C. Baez and U. Schreiber. Higher gauge theory. In Categories in Algebra, Geometry and Mathematical Physics, eds. A. Davydov et al. Contemporary Mathematics, vol. 431, Providence, RI: AMS, 2007, pp. 7–30.
-
(2007)
Categories in Algebra, Geometry and Mathematical Physics
, vol.431
, pp. 7-30
-
-
Baez, J.C.1
Schreiber, U.2
-
17
-
-
84927071952
-
Lectures on n-categories and cohomology, section 5.6: Pointedness versus connectedness
-
J. Baez and May, arXiv:math/0608420
-
J. C. Baez and M. Shulman. Lectures on n-categories and cohomology, section 5.6: Pointedness versus connectedness. To appear in Towards Higher Categories, eds. J. Baez and May. arXiv:math/0608420.
-
To Appear in Towards Higher Categories
-
-
Baez, J.C.1
Shulman, M.2
-
19
-
-
1642295578
-
On khovanov’s categorification of the Jones polynomial
-
arXiv:math/0201043
-
D. Bar-Natan. On Khovanov’s categorification of the Jones polynomial. Algebraic and Geometric Topology, 2 (2002), 337–70. arXiv:math/0201043.
-
(2002)
Algebraic and Geometric Topology
, vol.2
, pp. 337-370
-
-
Bar-Natan, D.1
-
20
-
-
24144488341
-
Khovanov’s homology for tangles and cobordisms
-
arXiv:math/0410495
-
D. Bar-Natan. Khovanov’s homology for tangles and cobordisms. Geometry and Topology, 9 (2005), 1443–99. Also available as arXiv:math/0410495.
-
(2005)
Geometry and Topology
, vol.9
, pp. 1443-1499
-
-
Bar-Natan, D.1
-
21
-
-
21444457888
-
Invariants of piecewise-linear 3-manifolds
-
arXiv:hep-th/9311155
-
J. W Barrett and B. W. Westbury. Invariants of piecewise-linear 3-manifolds. Transactions of the AMS, 348 (1996), 3997–4022. arXiv:hep-th/9311155.
-
(1996)
Transactions of the AMS
, vol.348
, pp. 3997-4022
-
-
Barrett, J.W.1
Westbury, B.W.2
-
22
-
-
0033541888
-
Spherical categories
-
arXiv:hep-th/9310164
-
J. W. Barrett and B. W. Westbury. Spherical categories. Advances in Mathematics, 143 (1999) 357–75. arXiv:hep-th/9310164.
-
(1999)
Advances in Mathematics
, vol.143
, pp. 357-375
-
-
Barrett, J.W.1
Westbury, B.W.2
-
25
-
-
0002445683
-
Monoidal globular categories as natural environment for the theory of weak n-categories
-
M. Batanin. Monoidal globular categories as natural environment for the theory of weak n-categories. Advances in Mathematics, 136 (1998), 39–103.
-
(1998)
Advances in Mathematics
, vol.136
, pp. 39-103
-
-
Batanin, M.1
-
26
-
-
33947601412
-
The symmetrisation of n-operads and compactification of real configuration spaces
-
arXiv:math/0301221
-
M. Batanin. The symmetrisation of n-operads and compactification of real configuration spaces. Advances in Mathematics, 211 (2007), 684–725. arXiv:math/0301221.
-
(2007)
Advances in Mathematics
, vol.211
, pp. 684-725
-
-
Batanin, M.1
-
27
-
-
35448934537
-
The eckmann-hilton argument and higher operads
-
arXiv:math/0207281
-
M. Batanin. The Eckmann-Hilton argument and higher operads. Advances in Mathematics, 217 (2008), 334–85. arXiv:math/0207281.
-
(2008)
Advances in Mathematics
, vol.217
, pp. 334-385
-
-
Batanin, M.1
-
28
-
-
0037046910
-
On penon method of weakening algebraic structures
-
M. Batanin. On Penon method of weakening algebraic structures. Journal of Pure and Applied Algebra, 172 (2002), 1–23.
-
(2002)
Journal of Pure and Applied Algebra
, vol.172
, pp. 1-23
-
-
Batanin, M.1
-
31
-
-
0002831987
-
Introduction to bicategories
-
Berlin: Springer-Verlag
-
J. Bénabou. Introduction to bicategories. In Reports of the Midwest Category Seminar. Berlin: Springer-Verlag, 1967, pp. 1–77.
-
(1967)
Reports of the Midwest Category Seminar
, pp. 1-77
-
-
Bénabou, J.1
-
32
-
-
0037099093
-
A cellular nerve for higher categories
-
C. Berger. A cellular nerve for higher categories. Advances in Mathematics, 169 (2002), 118–75. Also available at http://math.ucr.edu.fr/∼cberger/.
-
(2002)
Advances in Mathematics
, vol.169
, pp. 118-175
-
-
Berger, C.1
-
33
-
-
34247276465
-
Iterated wreath product of the simplex category and iterated loop spaces
-
arXiv:math/0512575
-
C. Berger. Iterated wreath product of the simplex category and iterated loop spaces. Advances in Mathematics, 213 (2007), 230–70. arXiv:math/0512575.
-
(2007)
Advances in Mathematics
, vol.213
, pp. 230-270
-
-
Berger, C.1
-
34
-
-
84927071951
-
A survey of (∞, 1)-categories
-
n-categories foundation and applications Berlin: Springer, Baez and May, arXiv:math/0610239
-
J. Bergner. A survey of (∞, 1)-categories. To appear in Towards Higher Categories, eds. n-categories foundation and applications Berlin: Springer, 2009. Baez and May. arXiv:math/0610239.
-
(2009)
To Appear in Towards Higher Categories
-
-
Bergner, J.1
-
35
-
-
33846900525
-
On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain
-
H. Bethe. On the theory of metals. 1. Eigenvalues and eigenfunctions for the linear atomic chain. Zeitschrift fur Physik, 71 (1931), 205–26.
-
(1931)
Zeitschrift Fur Physik
, vol.71
, pp. 205-226
-
-
Bethe, H.1
-
36
-
-
0040346984
-
Homotopy invariant structures on topological spaces
-
Berlin: Springer-Verlag
-
J. M. Boardmann and R. M. Vogt. Homotopy Invariant Structures on Topological Spaces. Lecture Notes in Mathematics, vol. 347. Berlin: Springer-Verlag, 1973.
-
(1973)
Lecture Notes in Mathematics
, vol.347
-
-
Boardmann, J.M.1
Vogt, R.M.2
-
37
-
-
79952438256
-
Out of line
-
R. Brown. Out of line. Royal Institute Proceedings, 64 (1992), 207–43. Also available at http://www.bangor.ac.uk/∼mas010/outofline/out-home.html.
-
(1992)
Royal Institute Proceedings
, vol.64
, pp. 207-243
-
-
Brown, R.1
-
38
-
-
14744294244
-
Quantum gravity in 2+1 dimensions: The case of a closed universe
-
S. Carlip. Quantum gravity in 2+1 dimensions: The case of a closed universe. Living Reviews in Relativity, 8, No. 1 (2005). Available at http://www.livingreviews.org/lrr-2005–1.
-
(2005)
Living Reviews in Relativity
, vol.8
, Issue.1
-
-
Carlip, S.1
-
39
-
-
0002089763
-
Structures and diagrammatics of four dimensional topological lattice field theories
-
arXiv:math/9806023
-
J. S. Carter, L. H. Kauffman, and M. Saito. Structures and diagrammatics of four dimensional topological lattice field theories. Advances in Mathematics, 146 (1999), 39–100. arXiv:math/9806023.
-
(1999)
Advances in Mathematics
, vol.146
, pp. 39-100
-
-
Carter, J.S.1
Kauffman, L.H.2
Saito, M.3
-
40
-
-
0031569703
-
A combinatorial description of knotted surfaces and their isotopies
-
J. S. Carter, J. H. Rieger, and M. Saito. A combinatorial description of knotted surfaces and their isotopies. Advances in Mathematics, 127 (1997), 1–51.
-
(1997)
Advances in Mathematics
, vol.127
, pp. 1-51
-
-
Carter, J.S.1
Rieger, J.H.2
Saito, M.3
-
43
-
-
18644373766
-
The category of opetopes and the category of opetopic sets
-
arXiv:math/0304284
-
E. Cheng. The category of opetopes and the category of opetopic sets. Theory and Applications of Categories, 11 (2003), 353–74. Available at http://www.tac.mta.ca/tac/volumes/11/16/11–16abs.html. arXiv:math/0304284.
-
(2003)
Theory and Applications of Categories
, vol.11
, pp. 353-374
-
-
Cheng, E.1
-
44
-
-
0242635974
-
Weak n-categories: Opetopic and multitopic foundations
-
arXiv:math/0304277
-
E. Cheng. Weak n-categories: Opetopic and multitopic foundations. Journal of Pure and Applied Algebra, 186 (2004), 109–37. arXiv:math/0304277.
-
(2004)
Journal of Pure and Applied Algebra
, vol.186
, pp. 109-137
-
-
Cheng, E.1
-
45
-
-
0345058992
-
Weak n-categories: Comparing opetopic foundations
-
arXiv:math/0304279
-
E. Cheng. Weak n-categories: Comparing opetopic foundations. Journal of Pure Applied Algebra, 186 (2004), 219–31. arXiv:math/0304279.
-
(2004)
Journal of Pure Applied Algebra
, vol.186
, pp. 219-231
-
-
Cheng, E.1
-
49
-
-
67649811596
-
Toward an n-category of cobordisms
-
E. Cheng and N. Gurski. Toward an n-category of cobordisms. Theory and Application of Categories, 18 (2007), 274–302. Available at http://www.tac.mta.ca/tac/volumes/18/10/18–10abs.html.
-
(2007)
Theory and Application of Categories
, vol.18
, pp. 274-302
-
-
Cheng, E.1
Gurski, N.2
-
52
-
-
39749085989
-
Derived equivalences for symmetric groups and 512-categorification
-
arXiv:math/0407205
-
J. Chuang and R. Rouquier. Derived equivalences for symmetric groups and 512-categorification. Annals of Mathematics, 167 (2008), 245–98. arXiv:math/0407205.
-
(2008)
Annals of Mathematics
, vol.167
, pp. 245-298
-
-
Chuang, J.1
Rouquier, R.2
-
53
-
-
0001388868
-
Structure of topological lattice field theories in three dimensions
-
arXiv:hep-th/9305080
-
S. Chung, M. Fukuma, and A. Shapere. Structure of topological lattice field theories in three dimensions. International Journal of Modern Physics, A9 (1994), 1305–60. arXiv:hep-th/9305080.
-
(1994)
International Journal of Modern Physics
, vol.A9
, pp. 1305-1360
-
-
Chung, S.1
Fukuma, M.2
Shapere, A.3
-
54
-
-
55249091966
-
Batanin higher groupoids and homotopy types
-
A. Davydov, et al., Contemporary Mathematics, vol. 431. Providence, RI: A. M. S., arXiv:math/0604442
-
D. -C. Cisinski. Batanin higher groupoids and homotopy types. In Categories in algebra, geometry and mathematical physics, eds. A. Davydov, et al. Contemporary Mathematics, vol. 431. Providence, RI: A. M. S., 2007, pp. 171–86. arXiv:math/0604442.
-
(2007)
Categories in Algebra, Geometry and Mathematical Physics
, pp. 171-186
-
-
Cisinski, D.-C.1
-
55
-
-
70350001281
-
Fixing the functoriality of khovanov homology
-
arXiv:math/0701339
-
D. Clark, S. Morrison, and K. Walker. Fixing the functoriality of Khovanov homology. Geometric Topology, 13 (2009), 1499–582. arXiv:math/0701339.
-
(2009)
Geometric Topology
, vol.13
, pp. 1499-1582
-
-
Clark, D.1
Morrison, S.2
Walker, K.3
-
56
-
-
33846456192
-
Topological conformal field theories and calabi-yau categories
-
arXiv:math.QA/0412149
-
K. Costello. Topological conformal field theories and Calabi-Yau categories. Advances in Mathematics, 210 (2007). arXiv:math.QA/0412149.
-
(2007)
Advances in Mathematics
, vol.210
-
-
Costello, K.1
-
57
-
-
33751425883
-
Clock and category: Is quantum gravity algebraic?
-
arXiv:gr-qc/9504038
-
L. Crane. Clock and category: Is quantum gravity algebraic? Journal of Mathematical Physics, 36 (1995), 6180–93. arXiv:gr-qc/9504038.
-
(1995)
Journal of Mathematical Physics
, vol.36
, pp. 6180-6193
-
-
Crane, L.1
-
58
-
-
21844501619
-
Four-dimensional topological quantum field theory, hopf categories, and the canonical bases
-
arXiv:hep-th/9405183
-
L. Crane and I. B. Frenkel. Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases. Journal of Mathematical Physics, 35 (1994), 5136–54. arXiv:hep-th/9405183.
-
(1994)
Journal of Mathematical Physics
, vol.35
, pp. 5136-5154
-
-
Crane, L.1
Frenkel, I.B.2
-
60
-
-
0002986922
-
A categorical construction of 4d topological quantum field theories
-
Singapore: World Scientific, arXiv:hep-th/9301062
-
L. Crane and D. Yetter. A categorical construction of 4D topological quantum field theories. In Quantum Topology. Singapore: World Scientific, 1993, pp. 120–30. arXiv:hep-th/9301062.
-
(1993)
Quantum Topology
, pp. 120-130
-
-
Crane, L.1
Yetter, D.2
-
61
-
-
0001745463
-
Generalized centers of braided and sylleptic monoidal 2-categories
-
S. E. Crans. Generalized centers of braided and sylleptic monoidal 2-categories. Advances in Mathematics, 136 (1998), 183–223.
-
(1998)
Advances in Mathematics
, vol.136
, pp. 183-223
-
-
Crans, S.E.1
-
62
-
-
0004002306
-
-
Princeton, NJ: Princeton University Press
-
P. Cvitanović. Group Theory. Princeton, NJ: Princeton University Press, 2003. Available at http://birdtracks.eu/.
-
(2003)
Group Theory
-
-
Cvitanović, P.1
-
63
-
-
84927012410
-
Categories in algebra, geometry and mathematical physics
-
Providence, RI: AMS
-
A. Davydov, M. Batanin, M. Johnson, S. Lack, and A. Neeman, eds. Categories in algebra, geometry and mathematical physics. Contemporary Mathematics, 431. Providence, RI: AMS, 2007.
-
(2007)
Contemporary Mathematics
, vol.431
-
-
Davydov, A.1
Batanin, M.2
Johnson, M.3
Lack, S.4
Neeman, A.5
-
64
-
-
0031571058
-
Monoidal bicategories and hopf algebroids
-
B. Day and R. Street. Monoidal bicategories and Hopf algebroids. Advances in Mathematics, 129 (1997), 99–157.
-
(1997)
Advances in Mathematics
, vol.129
, pp. 99-157
-
-
Day, B.1
Street, R.2
-
66
-
-
0003989609
-
-
H. I. Blocher. Boston: Birkhauser
-
A. Dick. Emmy Noether: 1882–1935, trans. H. I. Blocher. Boston: Birkhauser, 1981.
-
(1981)
Emmy Noether: 1882–1935
-
-
Dick, A.1
-
70
-
-
0002199189
-
Why there is a field algebra with a compact gauge group describing the superselection in particle physics
-
S. Doplicher and J. Roberts. Why there is a field algebra with a compact gauge group describing the superselection in particle physics. Communications in Mathematical Physics, 131 (1990), 51–107.
-
(1990)
Communications in Mathematical Physics
, vol.131
, pp. 51-107
-
-
Doplicher, S.1
Roberts, J.2
-
71
-
-
0000481618
-
Quantum groups
-
Berkeley, CA, Providence, RI: AMS, 1987
-
V. G. Drinfel’d. Quantum groups. In Proceedings of the International Congress of Mathematicians, Vol. 1 (Berkeley, CA, 1986). Providence, RI: AMS, 1987, pp. 798–820.
-
(1986)
Proceedings of the International Congress of Mathematicians
, vol.1
, pp. 798-820
-
-
Drinfel’D, V.G.1
-
72
-
-
0000563622
-
The radiation theories of tomonaga, schwinger, and feynman
-
F. J. Dyson. The radiation theories of Tomonaga, Schwinger, and Feynman. Physics Reviews, 75 (1949), 486–502.
-
(1949)
Physics Reviews
, vol.75
, pp. 486-502
-
-
Dyson, F.J.1
-
73
-
-
36149021943
-
The s matrix in quantum electrodynamics
-
F. J. Dyson. The S matrix in quantum electrodynamics. Physical Review, 75 (1949), 1736–55.
-
(1949)
Physical Review
, vol.75
, pp. 1736-1755
-
-
Dyson, F.J.1
-
74
-
-
0001238925
-
Group-like structures in categories
-
B. Eckmann and P. Hilton. Group-like structures in categories. Mathematische Annalen, 145 (1962), 227–55.
-
(1962)
Mathematische Annalen
, vol.145
, pp. 227-255
-
-
Eckmann, B.1
Hilton, P.2
-
75
-
-
84968491262
-
General theory of natural equivalences
-
S. Eilenberg and S. MacLane. General theory of natural equivalences. Transactions of the AMS, 58 (1945), 231–94.
-
(1945)
Transactions of the AMS
, vol.58
, pp. 231-294
-
-
Eilenberg, S.1
Maclane, S.2
-
76
-
-
84976651235
-
Zur elektrodynamik bewegter körper
-
Reprinted in The Principle of Relativity, W. Perrett and G. B. Jeffrey. New York: Dover Publications
-
A. Einstein. Zur Elektrodynamik bewegter Körper. Annalen der Physik, 17 (1905), 891–921. Reprinted in The Principle of Relativity, trans. W. Perrett and G. B. Jeffrey. New York: Dover Publications, 1923.
-
(1905)
Annalen Der Physik
, vol.17
, pp. 891-921
-
-
Einstein, A.1
-
80
-
-
0001464231
-
The theory of positrons
-
R. Feynman. The theory of positrons. Physics Review, 76 (1949), 749–59.
-
(1949)
Physics Review
, vol.76
, pp. 749-759
-
-
Feynman, R.1
-
81
-
-
34948848879
-
Space-time approach to quantum electrodynamics
-
R. Feynman. Space-time approach to quantum electrodynamics. Physical Review, 76 (1949), 769–89.
-
(1949)
Physical Review
, vol.76
, pp. 769-789
-
-
Feynman, R.1
-
83
-
-
52049109321
-
Topological and conformal field theory as frobenius algebras
-
A. Davydov, et al. Contemporary Mathematics, Providence, RI: AMS, arXiv:math/0512076
-
J. Fjelstad, J. Fuchs, I. Runkel, and C. Schweigert. Topological and conformal field theory as Frobenius algebras. In Categories in algebra, geometry and mathematical physics, eds. A. Davydov, et al. Contemporary Mathematics, 431, Providence, RI: AMS, 2007. arXiv:math/0512076.
-
(2007)
Categories in Algebra, Geometry and Mathematical Physics
, vol.431
-
-
Fjelstad, J.1
Fuchs, J.2
Runkel, I.3
Schweigert, C.4
-
84
-
-
21344482752
-
Higher algebraic structures and quantization
-
arXiv:hep-th/9212115
-
D. S. Freed. Higher algebraic structures and quantization. Communications in Mathematical Physics, 159 (1994), 343–98. arXiv:hep-th/9212115.
-
(1994)
Communications in Mathematical Physics
, vol.159
, pp. 343-398
-
-
Freed, D.S.1
-
86
-
-
10844256517
-
Ponzano-regge model revisited. I: Gauge fixing, observables and interacting spinning particles
-
arXiv:hep-th/0401076
-
L. Freidel and D. Louapre. Ponzano-Regge model revisited. I: Gauge fixing, observables and interacting spinning particles. Classical and Quantum Gravity, 21 (2004), 5685–726. arXiv:hep-th/0401076.
-
(2004)
Classical and Quantum Gravity
, vol.21
, pp. 5685-5726
-
-
Freidel, L.1
Louapre, D.2
-
87
-
-
84927028600
-
Gauge theory and langlands duality
-
arXiv:0906.2747
-
E. Frenkel. Gauge theory and Langlands duality. Séminaire Bourbaki, 61 (2009). arXiv:0906.2747.
-
(2009)
Séminaire Bourbaki
, vol.61
-
-
Frenkel, E.1
-
88
-
-
0001317803
-
Braided compact closed categories with applications to low dimensional topology
-
P. Freyd and D. Yetter. Braided compact closed categories with applications to low dimensional topology. Advances in Mathematics, 77 (1989), 156–82.
-
(1989)
Advances in Mathematics
, vol.77
, pp. 156-182
-
-
Freyd, P.1
Yetter, D.2
-
89
-
-
84968473981
-
A new polynomial invariant of knots and links
-
P. Freyd, D. Yetter, J. Hoste, W. B. R. Lickorish, K. Millett, and A. Oceanu. A new polynomial invariant of knots and links. Bulletin of the AMS, 12 (1985), 239–46.
-
(1985)
Bulletin of the AMS
, vol.12
, pp. 239-246
-
-
Freyd, P.1
Yetter, D.2
Hoste, J.3
Lickorish, W.B.R.4
Millett, K.5
Oceanu, A.6
-
91
-
-
0346643679
-
Category theory for conformal boundary conditions
-
arXiv:math.CT/0106050
-
J. Fuchs and C. Schweigert. Category theory for conformal boundary conditions. Fields Institute Communications, 39 (2003), 25–71. arXiv:math.CT/0106050.
-
(2003)
Fields Institute Communications
, vol.39
, pp. 25-71
-
-
Fuchs, J.1
Schweigert, C.2
-
92
-
-
21344482750
-
Lattice topological field theory in two dimensions
-
arXiv:hepth/9212154
-
M. Fukuma, S. Hosono, and H. Kawai. Lattice topological field theory in two dimensions. Communications in Mathematical Physics, 161 (1994), 157–75. arXiv:hepth/9212154.
-
(1994)
Communications in Mathematical Physics
, vol.161
, pp. 157-175
-
-
Fukuma, M.1
Hosono, S.2
Kawai, H.3
-
95
-
-
35949019065
-
Two-dimensional magnetotransport in the extreme quantum limit
-
A. C. Gossard, D. C. Tsui, and H. L. Störmer. Two-dimensional magnetotransport in the extreme quantum limit. Physical Review Letters, 48 (1982), 1559–62.
-
(1982)
Physical Review Letters
, vol.48
, pp. 1559-1562
-
-
Gossard, A.C.1
Tsui, D.C.2
Störmer, H.L.3
-
96
-
-
0003291709
-
Formal category theory: Adjointness for 2-categories
-
Berlin: Springer-Verlag
-
J. W. Gray. Formal category theory: Adjointness for 2-Categories. Lecture Notes in Mathematics, vol. 391. Berlin: Springer-Verlag, 1974.
-
(1974)
Lecture Notes in Mathematics
, vol.391
-
-
Gray, J.W.1
-
99
-
-
0013084853
-
A comparison of bases of quantized enveloping algebras: In linear algebraic groups and their representations
-
I. Grojnowski and G. Lusztig. A comparison of bases of quantized enveloping algebras: In Linear algebraic groups and their representations. Contemporary Mathematics, 153, 1993, pp. 11–9.
-
(1993)
Contemporary Mathematics
, vol.153
, pp. 11-19
-
-
Grojnowski, I.1
Lusztig, G.2
-
100
-
-
84927071950
-
Pursuing stacks, letter to D. Quillen, 1983
-
G. Maltsiniotis, M. Künzer, and B. Toen, Society Mathematics Paris, France
-
A. Grothendieck. Pursuing Stacks, letter to D. Quillen, 1983. To appear in eds. G. Maltsiniotis, M. Künzer, and B. Toen, Documents Mathématiques, Society Mathematics Paris, France.
-
Documents Mathématiques
-
-
Grothendieck, A.1
-
101
-
-
34250908648
-
Multi-body problem and resonance in the quantum mechanics
-
W. Heisenberg. Multi-body problem and resonance in the quantum mechanics. Zeitschrift für Physik, 38 (1926), 411–26.
-
(1926)
Zeitschrift Für Physik
, vol.38
, pp. 411-426
-
-
Heisenberg, W.1
-
102
-
-
24144436673
-
An invariant of link cobordisms from khovanov homology
-
arXiv:math/0206303
-
M. Jacobsson. An invariant of link cobordisms from Khovanov homology. Algebraic and Geometric Topology, 4 (2004), 1211–51. arXiv:math/0206303.
-
(2004)
Algebraic and Geometric Topology
, vol.4
, pp. 1211-1251
-
-
Jacobsson, M.1
-
103
-
-
0040323775
-
A q-difference analogue of U(g) and the Yang-Baxter equation
-
M. Jimbo. A q-difference analogue of U(g) and the Yang-Baxter equation. Letter in Mathematical Physics, 10 (1985), 63–9.
-
(1985)
Letter in Mathematical Physics
, vol.10
, pp. 63-69
-
-
Jimbo, M.1
-
104
-
-
84968518084
-
A polynomial invariant for knots via von neumann algebras
-
V. Jones. A polynomial invariant for knots via von Neumann algebras. Bulletin of the AMS, 12 (1985), 103–11.
-
(1985)
Bulletin of the AMS
, vol.12
, pp. 103-111
-
-
Jones, V.1
-
107
-
-
0037044687
-
Quasi-categories and kan complexes
-
A. Joyal. Quasi-categories and Kan complexes. Journal of Pure Applied Algebra, 175 (2002), 207–22.
-
(2002)
Journal of Pure Applied Algebra
, vol.175
, pp. 207-222
-
-
Joyal, A.1
-
108
-
-
0004159932
-
Braided monoidal categories
-
A. Joyal and R. Street. Braided monoidal categories, Macquarie Math Reports 860081 (1986). Available at http://rutherglen.ics.mq.edu.au/∼street/.
-
(1986)
Macquarie Math Reports
-
-
Joyal, A.1
Street, R.2
-
109
-
-
0000215959
-
An introduction to tannaka duality and quantum groups
-
A. Carboni, et al. Lecture Notes in Mathematics, Berlin: Springer-Verlag
-
A. Joyal and R. Street. An introduction to Tannaka duality and quantum groups, in Part II of Category Theory, Proceedings, Como 1990, eds. A. Carboni, et al. Lecture Notes in Mathematics, vol. 1488. Berlin: Springer-Verlag, 1991, pp. 411–92. Available at http://www.maths.mq.edu.au/∼street/.
-
(1991)
Part II of Category Theory, Proceedings, Como 1990
, vol.1488
, pp. 411-492
-
-
Joyal, A.1
Street, R.2
-
110
-
-
44949283969
-
The geometry of tensor calculus I
-
A. Joyal and R. Street. The geometry of tensor calculus I. Advances in Mathematics, 88 (1991), 55–113.
-
(1991)
Advances in Mathematics
, vol.88
, pp. 55-113
-
-
Joyal, A.1
Street, R.2
-
113
-
-
0009258723
-
On C.S.S. Complexes
-
D. M. Kan. On c.s.s. complexes. Annals of Mathematics, 79 (1957), 449–76.
-
(1957)
Annals of Mathematics
, vol.79
, pp. 449-476
-
-
Kan, D.M.1
-
114
-
-
0001035527
-
2-categories and zamolodchikov tetrahedra equations
-
Providence, RI: AMS
-
M. Kapranov and V. Voevodsky. 2-Categories and Zamolodchikov tetrahedra equations. In Algebraic groups and their generalizations. Proceedings of the Symposium Pure Mathematics, vol. 56, Providence, RI: AMS, 1994, pp. 177–260.
-
(1994)
Algebraic Groups and Their Generalizations. Proceedings of the Symposium Pure Mathematics
, vol.56
, pp. 177-260
-
-
Kapranov, M.1
Voevodsky, V.2
-
115
-
-
34249963938
-
Crystalizing the q-analogue of universal enveloping algebras
-
M. Kashiwara. Crystalizing the q-analogue of universal enveloping algebras. Communications in Mathematical Physics, 133 (1990), 249–60.
-
(1990)
Communications in Mathematical Physics
, vol.133
, pp. 249-260
-
-
Kashiwara, M.1
-
116
-
-
84974000954
-
On crystal bases of the q-analogue of universal enveloping algebras
-
M. Kashiwara. On crystal bases of the q-analogue of universal enveloping algebras. Duke Mathematical Journal, 63 (1991), 465–516.
-
(1991)
Duke Mathematical Journal
, vol.63
, pp. 465-516
-
-
Kashiwara, M.1
-
117
-
-
84974004410
-
Global crystal bases of quantum groups
-
M. Kashiwara. Global crystal bases of quantum groups. Duke Mathematical Journal, 69 (1993), 455–85.
-
(1993)
Duke Mathematical Journal
, vol.69
, pp. 455-485
-
-
Kashiwara, M.1
-
118
-
-
0000282829
-
State models and the Jones polynomial
-
L. H. Kauffman. State models and the Jones polynomial. Topology, 26 (1987), 395–407.
-
(1987)
Topology
, vol.26
, pp. 395-407
-
-
Kauffman, L.H.1
-
119
-
-
85097806987
-
Spin networks and the bracket polynomial
-
L. H. Kauffman. Spin networks and the bracket polynomial. Banach Center Publications, 42 (1998), 187–204. Also available at http://www.math.uic.edu/∼kauffman/spinnet.pdf.
-
(1998)
Banach Center Publications
, vol.42
, pp. 187-204
-
-
Kauffman, L.H.1
-
121
-
-
0003704279
-
-
Berlin: Springer-Verlag
-
C. Kassel. Quantum Groups. Berlin: Springer-Verlag, 1995.
-
(1995)
Quantum Groups
-
-
Kassel, C.1
-
122
-
-
0007370748
-
Introduction to A∞-algebras and modules
-
B. Keller. Introduction to A∞-algebras and modules. Homology, Homotopy and Applications, 3 (2001), 1–35. Available at http://www.intlpress.com/HHA/v3/n1/.
-
(2001)
Homology, Homotopy and Applications
, vol.3
, pp. 1-35
-
-
Keller, B.1
-
123
-
-
2942736912
-
Non-semisimple topological quantum field theories for 3-manifolds with corners
-
Berlin: Springer-Verlag
-
T. Kerler and V V Lyubashenko. Non-Semisimple Topological Quantum Field Theories for 3-Manifolds with Corners. Lecture Notes in Mathematics, vol. 1765. Berlin: Springer-Verlag, 2001.
-
(2001)
Lecture Notes in Mathematics
, vol.1765
-
-
Kerler, T.1
Lyubashenko, V.V.2
-
124
-
-
14844291092
-
Frobenius algebras and 2d topological quantum field theories
-
Cambridge: Cambridge U. Press
-
J. Kock. Frobenius Algebras and 2d Topological Quantum Field Theories. London Mathematical Society Student Texts, vol. 59. Cambridge: Cambridge U. Press, 2004.
-
(2004)
London Mathematical Society Student Texts
, vol.59
-
-
Kock, J.1
-
126
-
-
0034651348
-
A categorification of the jones polynomial
-
arXiv:math/9908171
-
M. Khovanov. A categorification of the Jones polynomial. Duke Mathematical Journal, 101 (2000), 359–426. arXiv:math/9908171.
-
(2000)
Duke Mathematical Journal
, vol.101
, pp. 359-426
-
-
Khovanov, M.1
-
127
-
-
30744469864
-
An invariant of tangle cobordisms
-
arXiv:math/0207264
-
M. Khovanov. An invariant of tangle cobordisms. Transactions of the AMS, 358 (2006), 315–27. arXiv:math/0207264.
-
(2006)
Transactions of the AMS
, vol.358
, pp. 315-327
-
-
Khovanov, M.1
-
129
-
-
84962502971
-
A diagrammatic approach to categorification of quantum groups i
-
arXiv:0803.4121
-
M. Khovanov and A. Lauda. A diagrammatic approach to categorification of quantum groups I. Representation Theory, 13 (2009), 309–47. arXiv:0803.4121.
-
(2009)
Representation Theory
, vol.13
, pp. 309-347
-
-
Khovanov, M.1
Lauda, A.2
-
131
-
-
0000294315
-
Vassiliev’s knot invariants
-
M. Kontsevich. Vassiliev’s knot invariants. Adv. Soviet Math., 16 (1993), 137–50.
-
(1993)
Adv. Soviet Math
, vol.16
, pp. 137-150
-
-
Kontsevich, M.1
-
133
-
-
0003193329
-
Operads and motives in deformation quantization
-
arXiv:math/9904055
-
M. Kontsevich. Operads and motives in deformation quantization. Letters in Mathematical Physics, 48 (1999), 35–72. arXiv:math/9904055.
-
(1999)
Letters in Mathematical Physics
, vol.48
, pp. 35-72
-
-
Kontsevich, M.1
-
135
-
-
0000386310
-
Gauge theory for embedded surfaces I
-
P. B. Kronheimer and T. S. Mrowka. Gauge theory for embedded surfaces I. Topology, 32 (1993), 773–826. Available at http://www.math.harvard.edu/∼kronheim/papers.html.
-
(1993)
Topology
, vol.32
, pp. 773-826
-
-
Kronheimer, P.B.1
Mrowka, T.S.2
-
136
-
-
0002309779
-
Involutory hopf algebras and 3-manifold invariants
-
arXiv:math/9201301
-
G. Kuperberg. Involutory Hopf algebras and 3-manifold invariants. International Journal of Mathematics, 2 (1991), 41–66. arXiv:math/9201301.
-
(1991)
International Journal of Mathematics
, vol.2
, pp. 41-66
-
-
Kuperberg, G.1
-
137
-
-
0003146836
-
Natural associativity and commutativity
-
S. Mac Lane. Natural associativity and commutativity. Rice University Studies, 49 (1963), 28–46.
-
(1963)
Rice University Studies
, vol.49
, pp. 28-46
-
-
Mac Lane, S.1
-
138
-
-
84966220495
-
Categorical algebra
-
S. MacLane. Categorical algebra. Bulletin of the AMS, 71 (1965), 40–106. Available at http://projecteuclid.org/euclid.bams/1183526392.
-
(1965)
Bulletin of the AMS
, vol.71
, pp. 40-106
-
-
MacLane, S.1
-
142
-
-
22244440948
-
Anomalous quantum hall effect: An incompressible quantum fluid with fractionally charged excitations
-
R. B. Laughlin. Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations. Physical Review Letters, 50 (1983), 1395.
-
(1983)
Physical Review Letters
, vol.50
-
-
Laughlin, R.B.1
-
143
-
-
0347337317
-
Triangulations, categories and extended topological field theories
-
Singapore: World Scientific
-
R. J. Lawrence. Triangulations, categories and extended topological field theories. In Quantum Topology. Singapore: World Scientific, 1993, pp. 191–208.
-
(1993)
Quantum Topology
, pp. 191-208
-
-
Lawrence, R.J.L.1
-
145
-
-
0004165167
-
-
Ph.D. thesis, Columbia University, Reprinted in Theory and Applications of Categories
-
F. W. Lawvere. Functorial Semantics of Algebraic Theories, Ph.D. thesis, Columbia University, 1963. Reprinted in Theory and Applications of Categories, 5 (2004), 1–121. Available at http://www.tac.mta.ca/tac/reprints/articles/5/tr5abs.html.
-
(1963)
Functorial Semantics of Algebraic Theories
, vol.5
, pp. 1-121
-
-
Lawvere, F.W.1
-
147
-
-
0242474745
-
A survey of definitions of n-category
-
arXiv:math/0107188
-
T. Leinster. A survey of definitions of n-category. Theory and Applications of Categories, 10 (2002), 1–70. Available at http://www.tac.mta.ca/tac/volumes/10/1/10–01abs.html. arXiv:math/0107188.
-
(2002)
Theory and Applications of Categories
, vol.10
, pp. 1-70
-
-
Leinster, T.1
-
148
-
-
18544365856
-
-
Cambridge: Cambridge University Press, arXiv:math.CT/0305049
-
T. Leinster. Higher Operads, Higher Categories. Cambridge: Cambridge University Press, 2003. arXiv:math.CT/0305049.
-
(2003)
Higher Operads, Higher Categories
-
-
Leinster, T.1
-
149
-
-
27944492650
-
Higher operads, higher categories
-
Cambridge: Cambridge University Press, arXiv:math/0305049
-
T. Leinster. Higher operads, higher categories. London Mathematical Society Lecture Note Series, vol. 298. Cambridge: Cambridge University Press, 2004. arXiv:math/0305049.
-
(2004)
London Mathematical Society Lecture Note Series
, vol.298
-
-
Leinster, T.1
-
150
-
-
84927071949
-
-
Providence, RI: AMS
-
J. -L. Loday, J. D. Stasheff, and A. A. Voronov, eds., Operads: Proceedings of Renaissance Conferences. Providence, RI: AMS, 1997.
-
(1997)
Operads: Proceedings of Renaissance Conferences
-
-
Loday, J.-L.1
Stasheff, J.D.2
Voronov, A.A.3
-
151
-
-
0010195657
-
Electromagnetic phenomena in a system moving with any velocity less than that of light
-
H. A. Lorentz. Electromagnetic phenomena in a system moving with any velocity less than that of light. Proceedings of the Academy of Science Amsterdam, IV (1904), 669–78.
-
(1904)
Proceedings of the Academy of Science Amsterdam
, vol.4
, pp. 669-678
-
-
Lorentz, H.A.1
-
153
-
-
84924172016
-
-
Princeton, NJ: Princeton University Press, arXiv:math/0608040
-
J. Lurie. Higher Topos Theory. Princeton, NJ: Princeton University Press, 2009. arXiv:math/0608040.
-
(2009)
Higher Topos Theory
-
-
Lurie, J.1
-
154
-
-
84968495738
-
Canonical bases arising from quantized enveloping algebras
-
G. Lusztig. Canonical bases arising from quantized enveloping algebras. Journal of the AMS, 3 (1990), 447–98.
-
(1990)
Journal of the AMS
, vol.3
, pp. 447-498
-
-
Lusztig, G.1
-
155
-
-
84968494076
-
Quivers, perverse sheaves, and quantized enveloping algebras
-
G. Lusztig. Quivers, perverse sheaves, and quantized enveloping algebras. Journal of the AMS, 4 (1991), 365–421.
-
(1991)
Journal of the AMS
, vol.4
, pp. 365-421
-
-
Lusztig, G.1
-
157
-
-
0033541882
-
Spherical 2-categories and 4-manifold invariants
-
arXiv:math/9805030
-
M. Mackaay. Spherical 2-categories and 4-manifold invariants. Advances in Mathematics, 143 (1999), 288–348. arXiv:math/9805030.
-
(1999)
Advances in Mathematics
, vol.143
, pp. 288-348
-
-
Mackaay, M.1
-
159
-
-
0033443155
-
A spin network primer
-
arXiv:gr-qc/9905020
-
S. Major. A spin network primer. American Journal of Physics, 67 (1999), 972–80. arXiv:gr-qc/9905020.
-
(1999)
American Journal of Physics
, vol.67
, pp. 972-980
-
-
Major, S.1
-
162
-
-
84926953448
-
On weak higher-dimensional categories i, ii
-
M. Makkai, C. Hermida, and J. Power. On weak higher-dimensional categories I, II. Journal of Pure Applied Algebra, 157 (2001), 221–77.
-
(2001)
Journal of Pure Applied Algebra
, vol.157
, pp. 221-277
-
-
Makkai, M.1
Hermida, C.2
Power, J.3
-
163
-
-
71649101056
-
A combinatorial description of knot floer homology
-
arXiv:math/0607691
-
C. Manolescu, P. Ozsváth, and S. Sarkar. A combinatorial description of knot Floer homology. Annals of Mathematics, 169 (2009), 633–60. arXiv:math/0607691.
-
(2009)
Annals of Mathematics
, vol.169
, pp. 633-660
-
-
Manolescu, C.1
Ozsváth, P.2
Sarkar, S.3
-
164
-
-
56749101287
-
On combinatorial link floer homology
-
arXiv:math/0610559
-
C. Manolescu, P. Ozsváth, Z. Szabó, and D. Thurson. On combinatorial link Floer homology. Geometry and Topology, 11 (2007), 2339–412. arXiv:math/0610559.
-
(2007)
Geometry and Topology
, vol.11
, pp. 2339-2412
-
-
Manolescu, C.1
Ozsváth, P.2
Szabó, Z.3
Thurson, D.4
-
165
-
-
0011692077
-
-
Providence, RI: AMS
-
M. Markl, S. Shnider, and J. D. Stasheff. Operads in Algebra, Topology and Physics, Providence, RI: AMS, 2002.
-
(2002)
Operads in Algebra, Topology and Physics
-
-
Markl, M.1
Shnider, S.2
Stasheff, J.D.3
-
166
-
-
0004187093
-
-
London: Society for Promoting Christian Knowledge, Reprinted in New York: Dover
-
J. C. Maxwell. Matter and Motion. London: Society for Promoting Christian Knowledge, 1876. Reprinted in New York: Dover, 1952.
-
(1876)
Matter and Motion
-
-
Maxwell, J.C.1
-
167
-
-
0003640284
-
-
Lecture Notes in Mathematics, Berlin: Springer-Verlag
-
J. P. May. The Geometry of Iterated Loop Spaces. Lecture Notes in Mathematics, vol. 271. Berlin: Springer-Verlag, 1972.
-
(1972)
The Geometry of Iterated Loop Spaces
, vol.271
-
-
May, J.P.1
-
168
-
-
0002663901
-
Balanced coalgebroids
-
P. McCrudden. Balanced coalgebroids. Theory and Applications of Categories, 7 (2000), 71–147. Available at http://www.tac.mta.ca/tac/volumes/7/n6/7–06abs.html.
-
(2000)
Theory and Applications of Categories
, vol.7
, pp. 71-147
-
-
McCrudden, P.1
-
171
-
-
11944254654
-
-
Lecture Notes from the Clay Institute School on Geometry and String Theory held at the Isaac Newton Institute, Cambridge, UK
-
G. Moore and G. B. Segal. Lectures on Branes, K-Theory and RR Charges. In Lecture Notes from the Clay Institute School on Geometry and String Theory held at the Isaac Newton Institute, Cambridge, UK, 2001–2002. Available at http://www.physics.rutgers.edu/∼gmoore/clay1/clay1.html and at http://online.itp.ucsb.edu/online/mp01/moore1/.
-
(2001)
Lectures on Branes, K-Theory and RR Charges
-
-
Moore, G.1
Segal, G.B.2
-
175
-
-
84927071948
-
-
nLab, Trimble n-category. Available at http://ncatlab.org/nlab/show/Trimble+n-category.
-
Trimble N-Category
-
-
-
176
-
-
0003846324
-
-
Ph.D. dissertation, Department of Mathematics, University of Munich
-
M. Neuchl. Representation Theory of Hopf Categories, Ph.D. dissertation, Department of Mathematics, University of Munich, 1997. Available at http://math.ucr.edu/home/baez/neuchl.ps.
-
(1997)
Representation Theory of Hopf Categories
-
-
Neuchl, M.1
-
178
-
-
36149012281
-
Crystal statistics. 1. A two-dimensional model with an order disorder transition
-
L. Onsager. Crystal statistics. 1. A Two-dimensional model with an order disorder transition. Physical Review, 65 (1944), 117–49.
-
(1944)
Physical Review
, vol.65
, pp. 117-149
-
-
Onsager, L.1
-
179
-
-
0001569507
-
Topological lattice models in four dimensions
-
H. Ooguri. Topological lattice models in four dimensions. Modern Physics Letters A, 7 (1992), 2799–810.
-
(1992)
Modern Physics Letters A
, vol.7
, pp. 2799-2810
-
-
Ooguri, H.1
-
180
-
-
14544305951
-
Holomorphic disks and topological invariants for closed three-manifolds
-
arXiv:math/0101206
-
P. Ozsváth and Z. Szabó. Holomorphic disks and topological invariants for closed three-manifolds. Annals of Mathematics, 159 (2004), 1027–158. arXiv:math/0101206.
-
(2004)
Annals of Mathematics
, vol.159
, pp. 1027-1158
-
-
Ozsváth, P.1
Szabó, Z.2
-
181
-
-
85025529248
-
P. L. Homeomorphic manifolds are equivalent by elementary shelling
-
U. Pachner, P. L. homeomorphic manifolds are equivalent by elementary shelling. European Journal of Combinatorics, 12 (1991), 129–45.
-
(1991)
European Journal of Combinatorics
, vol.12
, pp. 129-145
-
-
Pachner, U.1
-
185
-
-
0006036991
-
Approche polygraphique des ∞-categories non strictes
-
J. Penon. Approche polygraphique des ∞-categories non strictes. Cahiers Top. Géom. Diff., 40 (1999), 31–80.
-
(1999)
Cahiers Top. Géom. Diff
, vol.40
, pp. 31-80
-
-
Penon, J.1
-
186
-
-
0002099583
-
Applications of negative dimensional tensors
-
D. Welsh. New York: Academic Press
-
R. Penrose. Applications of negative dimensional tensors. In Combinatorial Mathematics and its Applications, ed. D. Welsh. New York: Academic Press, 1971, pp. 221–44.
-
(1971)
Combinatorial Mathematics and Its Applications
, pp. 221-244
-
-
Penrose, R.1
-
187
-
-
0002414354
-
Angular momentum: An approach to combinatorial spacetime
-
T. Bastin. Cambridge: Cambridge University Press
-
R. Penrose. Angular momentum: An approach to combinatorial spacetime. In Quantum Theory and Beyond, ed. T. Bastin. Cambridge: Cambridge University Press, 1971, pp. 151–80.
-
(1971)
Quantum Theory and Beyond
, pp. 151-180
-
-
Penrose, R.1
-
188
-
-
0040566138
-
On the nature of quantum geometry
-
ed. J. Klauder. New York: Freeman
-
R. Penrose. On the nature of quantum geometry. In Magic Without Magic, ed. J. Klauder. New York: Freeman, 1972, pp. 333–54.
-
(1972)
Magic without Magic
, pp. 333-354
-
-
Penrose, R.1
-
189
-
-
0039035918
-
Combinatorial quantum theory and quantized directions
-
L. Hughston and R. Ward. Boston: Pitman Advanced Publishing Program
-
R. Penrose. Combinatorial quantum theory and quantized directions. In Advances in Twistor Theory, eds. L. Hughston and R. Ward. Boston: Pitman Advanced Publishing Program, 1979, pp. 301–17.
-
(1979)
Advances in Twistor Theory
, pp. 301-317
-
-
Penrose, R.1
-
190
-
-
34047252728
-
2-groups, trialgebras and their hopf categories of representations
-
arXiv:math.QA/0411468
-
H. Pfeiffer. 2-Groups, trialgebras and their Hopf categories of representations. Advances in Mathematics, 212 (2007), 62–108. arXiv:math.QA/0411468.
-
(2007)
Advances in Mathematics
, vol.212
, pp. 62-108
-
-
Pfeiffer, H.1
-
192
-
-
0003826278
-
-
Cambridge: Cambridge University Press
-
J. Polchinski. String Theory (2 vol.). Cambridge: Cambridge University Press, 1998.
-
(1998)
String Theory
, vol.2
-
-
Polchinski, J.1
-
194
-
-
0001461275
-
Why tricategories?
-
A. J. Power. Why tricategories? Information and Computation, 120 (1995), 251–62. Available at http://www.lfcs.inf.ed.ac.uk/reports/94/ECS-LFCS-94–289/.
-
(1995)
Information and Computation
, vol.120
, pp. 251-262
-
-
Power, A.J.1
-
195
-
-
84968468326
-
Conway algebras and skein equivalence of links
-
J. Przytycki and P. Traczyk. Conway algebras and skein equivalence of links. Proceedings of the AMS, 100 (1987), 744–8.
-
(1987)
Proceedings of the AMS
, vol.100
, pp. 744-748
-
-
Przytycki, J.1
Traczyk, P.2
-
196
-
-
84926984244
-
Khovanov homology and the slice genus
-
arXiv:math/0402131
-
J. Rasmussen. Khovanov homology and the slice genus. To appear in Inventiones Mathemati-cae. arXiv:math/0402131.
-
Inventiones Mathemati-Cae
-
-
Rasmussen, J.1
-
198
-
-
0009249782
-
“Sum over surfaces” form of loop quantum gravity
-
arXiv:gr-qc/9612035
-
M. Reisenberger and C. Rovelli. “Sum over surfaces” form of loop quantum gravity. Physical Review, D56 (1997), 3490–508. arXiv:gr-qc/9612035.
-
(1997)
Physical Review
, vol.D56
, pp. 3490-3508
-
-
Reisenberger, M.1
Rovelli, C.2
-
200
-
-
0542373499
-
Invariants of 3-manifolds via link-polynomials and quantum groups
-
N. Reshetikhin and V. Turaev. Invariants of 3-manifolds via link-polynomials and quantum groups. Inventiones Mathematicae, 103 (1991), 547–97.
-
(1991)
Inventiones Mathematicae
, vol.103
, pp. 547-597
-
-
Reshetikhin, N.1
Turaev, V.2
-
201
-
-
27244434880
-
A model for the homotopy theory of homotopy theory
-
C. Rezk. A model for the homotopy theory of homotopy theory. Transaction American Mathematical Society, 353 (2001), 973–1007. Available at http://www.ams.org/tran/2001–353–03/S0002–9947–00–02653–2/.
-
(2001)
Transaction American Mathematical Society
, vol.353
, pp. 973-1007
-
-
Rezk, C.1
-
203
-
-
0002062991
-
Classical 6j-symbols and the tetrahedron
-
J. Roberts. Classical 6j-symbols and the tetrahedron. Geometry and Topology, 3 (1999), 21–66.
-
(1999)
Geometry and Topology
, vol.3
, pp. 21-66
-
-
Roberts, J.1
-
204
-
-
0000155804
-
Skein theory and turaev-viro invariants
-
J. Roberts. Skein theory and Turaev-Viro invariants. Topology, 34 (1995), 771–87. Also available at http://math.ucsd.edu/∼justin/papers.html.
-
(1995)
Topology
, vol.34
, pp. 771-787
-
-
Roberts, J.1
-
207
-
-
47849130090
-
Loop quantum gravity
-
C. Rovelli. Loop quantum gravity. Living Reviews in Relativity, 11, (2008), 5. Available at http://relativity.livingreviews.org/Articles/lrr-2008–5/.
-
(2008)
Living Reviews in Relativity
, vol.11
-
-
Rovelli, C.1
-
208
-
-
1842855789
-
-
Cambridge: Cambridge University Press
-
C. Rovelli. Quantum Gravity. Cambridge: Cambridge University Press, 2004.
-
(2004)
Quantum Gravity
-
-
Rovelli, C.1
-
209
-
-
13344250498
-
Loop space representation of quantum general relativity
-
C. Rovelli and L. Smolin. Loop space representation of quantum general relativity. Nuclear Physics B, 331 (1990), 80–152.
-
(1990)
Nuclear Physics B
, vol.331
, pp. 80-152
-
-
Rovelli, C.1
Smolin, L.2
-
210
-
-
33744572565
-
Spin networks and quantum gravity
-
arXiv:gr-qc/9505006
-
C. Rovelli and L. Smolin. Spin networks and quantum gravity. Physical Review, D52 (1995), 5743–59. arXiv:gr-qc/9505006.
-
(1995)
Physical Review
, vol.D52
, pp. 5743-5759
-
-
Rovelli, C.1
Smolin, L.2
-
214
-
-
33645579078
-
The definition of conformal field theory
-
London Mathematical Society Lecture Note Series, Cambridge: Cambridge University Press
-
G. B. Segal. The definition of conformal field theory. In Topology, Geometry and Quantum Field Theory. London Mathematical Society Lecture Note Series, 308. Cambridge: Cambridge University Press, 2004, pp. 421–577.
-
(2004)
Topology, Geometry and Quantum Field Theory
, vol.308
, pp. 421-577
-
-
Segal, G.B.1
-
216
-
-
13644276850
-
Electric-magnetic duality, monopole condensation, and confinement in n = 2 supersymmetric yang-mills theory
-
N. Seiberg and E. Witten. Electric-magnetic duality, monopole condensation, and confinement in N = 2 supersymmetric Yang-Mills theory. Nuclear Physics, B426 (1994), 19–52.
-
(1994)
Nuclear Physics
, vol.B426
, pp. 19-52
-
-
Seiberg, N.1
Witten, E.2
-
217
-
-
0346866199
-
Monopoles, duality and chiral symmetry breaking in n = 2 super-symmetric qcd
-
N. Seiberg and E. Witten. Monopoles, duality and chiral symmetry breaking in N = 2 super-symmetric QCD. Nuclear Physics, B431 (1994), 484–550.
-
(1994)
Nuclear Physics
, vol.B431
, pp. 484-550
-
-
Seiberg, N.1
Witten, E.2
-
225
-
-
0000767104
-
Homotopy associative h-spaces i, ii
-
J. Stasheff. Homotopy associative H-spaces I, II. Transactions of the AMS, 108 (1963), 275–312.
-
(1963)
Transactions of the AMS
, vol.108
, pp. 275-312
-
-
Stasheff, J.1
-
229
-
-
0002603185
-
The role of michael batanin’s monoidal globular categories
-
E. Getzler and M. Kapranov, Contemporary Mathematics, Providence, RI: AMS
-
R. Street. The role of Michael Batanin’s monoidal globular categories. In Higher Category Theory, eds. E. Getzler and M. Kapranov, Contemporary Mathematics, 230. Providence, RI: AMS, 1998, pp. 99–116. Also available at http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.51.2074.
-
(1998)
Higher Category Theory
, vol.230
, pp. 99-116
-
-
Street, R.1
-
230
-
-
0002531718
-
Sur des notions de n-catégorie et n-groupoide non-strictes via des ensembles multi-simpliciaux
-
arXiv:alg-geom/9512006
-
Z. Tamsamani. Sur des notions de n-catégorie et n-groupoide non-strictes via des ensembles multi-simpliciaux. K-Theory, 16 (1999), 51–99. arXiv:alg-geom/9512006.
-
(1999)
K-Theory
, vol.16
, pp. 51-99
-
-
Tamsamani, Z.1
-
232
-
-
84972546008
-
Shadow links and face models of stastistical mechanics
-
V. G. Turaev. Shadow links and face models of stastistical mechanics. Journal of Differential Geometry, 36 (1992), 35–74.
-
(1992)
Journal of Differential Geometry
, vol.36
, pp. 35-74
-
-
Turaev, V.G.1
-
235
-
-
44049114062
-
State sum invariants of 3-manifolds and quantum 6j-symbols
-
V. G. Turaev and O. Y. Viro. State sum invariants of 3-manifolds and quantum 6j-symbols. Topology, 31 (1992), 865–902.
-
(1992)
Topology
, vol.31
, pp. 865-902
-
-
Turaev, V.G.1
Viro, O.Y.2
-
237
-
-
84926984243
-
Complicial sets: Characterizing the simplicial nerves of strict ω-categories
-
arXiv:math/0410412
-
D. Verity. Complicial sets: Characterizing the simplicial nerves of strict ω-categories. Memoirs of the American Mathematical Society, 905, 2005. arXiv:math/0410412.
-
(2005)
Memoirs of the American Mathematical Society
, vol.905
-
-
Verity, D.1
-
241
-
-
0001420838
-
On unitary representations of the inhomogeneous lorentz group
-
E. Wigner. On unitary representations of the inhomogeneous Lorentz group. Annals of Mathematics, 40 (1939), 149–204.
-
(1939)
Annals of Mathematics
, vol.40
, pp. 149-204
-
-
Wigner, E.1
-
242
-
-
4243747802
-
Quantum mechanics of fractional-spin particles
-
F. Wilczek. Quantum mechanics of fractional-spin particles. Physical Review Letters, 49 (1982), 957–9.
-
(1982)
Physical Review Letters
, vol.49
, pp. 957-959
-
-
Wilczek, F.1
-
243
-
-
0038722672
-
Topological quantum field theory
-
E. Witten. Topological quantum field theory. Communications in Mathematical Physics, 117 (1988), 353–86. Also available at http://projecteuclid.org/euclid.cmp/1104161738.
-
(1988)
Communications in Mathematical Physics
, vol.117
, pp. 353-386
-
-
Witten, E.1
-
244
-
-
14644388676
-
Quantum field theory and the jones polynomial
-
E. Witten. Quantum field theory and the Jones polynomial. Communications in Mathematical Physics, 121 (1989), 351–99.
-
(1989)
Communications in Mathematical Physics
, vol.121
, pp. 351-399
-
-
Witten, E.1
-
245
-
-
32644441762
-
Conservation of isotopic spin and isotopic gauge invariance
-
C. N. Yang and R. Mills. Conservation of isotopic spin and isotopic gauge invariance. Physical Review, 96 (1954) 191–5.
-
(1954)
Physical Review
, vol.96
, pp. 191-195
-
-
Yang, C.N.1
Mills, R.2
-
246
-
-
36049056498
-
One-dimensional chain of anisotropic spin-spin interactions. I: Proof of bethe’s hypothesis for ground state in a finite system; ii: Properties of the ground state energy per lattice site for an infinite system
-
C. N. Yang and C. P. Yang. One-dimensional chain of anisotropic spin-spin interactions. I: Proof of Bethe’s hypothesis for ground state in a finite system; II: Properties of the ground state energy per lattice site for an infinite system. Physical Review, 150 (1966), 321–7, 327–39.
-
(1966)
Physical Review
, vol.150
-
-
Yang, C.N.1
Yang, C.P.2
-
248
-
-
13444286084
-
C. N. Yang and contemporary mathematics
-
D. Z. Zhang. C. N. Yang and contemporary mathematics. Mathematical Intelligencer, 14 (1993), 13–21.
-
(1993)
Mathematical Intelligencer
, vol.14
, pp. 13-21
-
-
Zhang, D.Z.1
|