-
1
-
-
0030496076
-
Two-dimensional topological quantum field theories and Frobenius algebras
-
L. Abrams, Two-dimensional topological quantum field theories and Frobenius algebras, J. Knot Theory Ramification 5(5) (1996) 569-587.
-
(1996)
J. Knot Theory Ramification
, vol.5
, Issue.5
, pp. 569-587
-
-
Abrams, L.1
-
2
-
-
36849058503
-
A note on strongly separable algebras
-
M. Aguiar, A note on strongly separable algebras, Bol. Acad. Nac. Cienc. 65 (2000) 51-60.
-
(2000)
Bol. Acad. Nac. Cienc
, vol.65
, pp. 51-60
-
-
Aguiar, M.1
-
3
-
-
36849052710
-
Noncommutative two-dimensional Topological Field Theories and Hurwitz numbers for real algebraic curves, to appear in Sel. Math
-
Preprint, math.GT/0202164
-
A. Alexeevski and S. M. Natanzon, Noncommutative two-dimensional Topological Field Theories and Hurwitz numbers for real algebraic curves, to appear in Sel. Math. (2006). Preprint, math.GT/0202164.
-
(2006)
-
-
Alexeevski, A.1
Natanzon, S.M.2
-
4
-
-
51649148614
-
Topological quantum field theories
-
M. F. Atiyah, Topological quantum field theories, IHES Publ. Math. 68 (1988) 175-186.
-
(1988)
IHES Publ. Math
, vol.68
, pp. 175-186
-
-
Atiyah, M.F.1
-
5
-
-
33845324144
-
The topology of the category of open and closed strings
-
Recent Developments in Algebraic Topology, American Mathematical Society, Providence, RI
-
N. A. Baas, R. L. Cohen and A. Ramírez, The topology of the category of open and closed strings, in Recent Developments in Algebraic Topology, Contemporary Mathematics, Vol. 407 (American Mathematical Society, Providence, RI, 2006), pp. 11-26.
-
(2006)
Contemporary Mathematics
, vol.407
, pp. 11-26
-
-
Baas, N.A.1
Cohen, R.L.2
Ramírez, A.3
-
6
-
-
21444457888
-
Invariants of piecewise-linear 3-manifolds
-
J. W. Barrett and B. W. Westbury, Invariants of piecewise-linear 3-manifolds, Trans. Amer. Math. Soc. 348(10) (1996) 3997-4022.
-
(1996)
Trans. Amer. Math. Soc
, vol.348
, Issue.10
, pp. 3997-4022
-
-
Barrett, J.W.1
Westbury, B.W.2
-
7
-
-
0033541888
-
Spherical categories
-
J. W. Barrett and B. W. Westbury, Spherical categories, Adv. Math. 143 (1999) 357-375.
-
(1999)
Adv. Math
, vol.143
, pp. 357-375
-
-
Barrett, J.W.1
Westbury, B.W.2
-
9
-
-
0000747087
-
Bulk and boundary operators in conformal field theory
-
J. L. Cardy and D. C. Lewellen, Bulk and boundary operators in conformal field theory, Phys. Lett. B 259(3) (1991) 274-278.
-
(1991)
Phys. Lett. B
, vol.259
, Issue.3
, pp. 274-278
-
-
Cardy, J.L.1
Lewellen, D.C.2
-
10
-
-
21844501619
-
Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases
-
L. Crane and I. B. Frenkel, Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases, J. Math. Phys. 35(10) (1994) 5136-5154.
-
(1994)
J. Math. Phys
, vol.35
, Issue.10
, pp. 5136-5154
-
-
Crane, L.1
Frenkel, I.B.2
-
11
-
-
0033454552
-
On algebraic structures implicit in topological quantum field theory
-
L. Crane and D. N. Yetter, On algebraic structures implicit in topological quantum field theory, J. Knot Theory Ramification 8(2) (1999) 125-163.
-
(1999)
J. Knot Theory Ramification
, vol.8
, Issue.2
, pp. 125-163
-
-
Crane, L.1
Yetter, D.N.2
-
13
-
-
0037060902
-
Conformal correlation functions, Frobenius algebras and triangulations
-
J. Fuchs, I. Runkel and Ch. Schweigert, Conformal correlation functions, Frobenius algebras and triangulations, Nucl. Phys. B 624 (2002) 452-468.
-
(2002)
Nucl. Phys. B
, vol.624
, pp. 452-468
-
-
Fuchs, J.1
Runkel, I.2
Schweigert, C.3
-
14
-
-
0346643679
-
Category theory for conformal boundary conditions
-
J. Fuchs and Ch. Schweigert, Category theory for conformal boundary conditions, Fields Inst. Comm. 39 (2003) 25-71.
-
(2003)
Fields Inst. Comm
, vol.39
, pp. 25-71
-
-
Fuchs, J.1
Schweigert, C.2
-
15
-
-
21344482750
-
Lattice topological field theory in two dimensions
-
M. Fukuma, S. Hosono and H. Kawai, Lattice topological field theory in two dimensions, Commun. Math. Phys. 161(1) (1994) 157-175.
-
(1994)
Commun. Math. Phys
, vol.161
, Issue.1
, pp. 157-175
-
-
Fukuma, M.1
Hosono, S.2
Kawai, H.3
-
16
-
-
44949283969
-
The geometry of tensor calculus. I
-
A. Joyal and R. Street, The geometry of tensor calculus. I, Adv. Math. 88(1) (1991) 55-112.
-
(1991)
Adv. Math
, vol.88
, Issue.1
, pp. 55-112
-
-
Joyal, A.1
Street, R.2
-
17
-
-
36849012354
-
Towards an algebraic characterization of 3-dimensional cobordisms
-
Diagrammatic Morphisms and Applications, eds. D. E. Radford, F. J. O. Souza and D. N. Yetter, American Mathematical Society, Providence
-
T. Kerler, Towards an algebraic characterization of 3-dimensional cobordisms, in Diagrammatic Morphisms and Applications, eds. D. E. Radford, F. J. O. Souza and D. N. Yetter, Contemporary Mathematics, Vol. 318 (American Mathematical Society, Providence, 2003), pp. 141-173.
-
(2003)
Contemporary Mathematics
, vol.318
, pp. 141-173
-
-
Kerler, T.1
-
19
-
-
0002309779
-
Involutory Hopf algebras and 3-manifold invariants
-
G. Kuperberg, Involutory Hopf algebras and 3-manifold invariants, Int. J. Math. 2(1) (1991) 41-66.
-
(1991)
Int. J. Math
, vol.2
, Issue.1
, pp. 41-66
-
-
Kuperberg, G.1
-
20
-
-
33745384265
-
Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebras, preprint
-
math.AT/0510664
-
A. D. Lauda and H. Pfeiffer, Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebras, preprint (2005), math.AT/0510664.
-
-
-
Lauda, A.D.1
Pfeiffer, H.2
-
21
-
-
0001260978
-
Sewing constraints for conformal field theories on surfaces with boundaries
-
D. C. Lewellen, Sewing constraints for conformal field theories on surfaces with boundaries, Nucl. Phys. B 372(3) (1992) 654-682.
-
(1992)
Nucl. Phys. B
, vol.372
, Issue.3
, pp. 654-682
-
-
Lewellen, D.C.1
-
22
-
-
0035844777
-
On the structure of open-closed topological field theory in two dimensions
-
C. I. Lazaroiu, On the structure of open-closed topological field theory in two dimensions, Nucl. Phys. B 603(3) (2001) 497-530.
-
(2001)
Nucl. Phys. B
, vol.603
, Issue.3
, pp. 497-530
-
-
Lazaroiu, C.I.1
-
23
-
-
0003146836
-
Natural associativity and commutativity
-
S. MacLane, Natural associativity and commutativity, Rice Univ. Studies 49(4) (1963) 28-46.
-
(1963)
Rice Univ. Studies
, vol.49
, Issue.4
, pp. 28-46
-
-
MacLane, S.1
-
24
-
-
36849088863
-
-
G. Moore and G. B. Segal, Lectures on Brunes, K-theory and RR Charges, Lecture notes from the Clay Institute School on Geometry and String Theory held at the Isaac Newton Institute, Cambridge, UK, available at http://www.physics.rutgers.edu/~gmoore/clay1/clay1.html, and from the ITP Miniprogram The Duality Workshop at Santa Barbara available at http://online.itp.ucsb.edu/online/mp01/moore1/(2001-2002).
-
G. Moore and G. B. Segal, Lectures on Brunes, K-theory and RR Charges, Lecture notes from the Clay Institute School on Geometry and String Theory held at the Isaac Newton Institute, Cambridge, UK, available at http://www.physics.rutgers.edu/~gmoore/clay1/clay1.html, and from the ITP Miniprogram "The Duality Workshop" at Santa Barbara available at http://online.itp.ucsb.edu/online/mp01/moore1/(2001-2002).
-
-
-
-
25
-
-
36849061935
-
2d and 3d TQFTs and higher-dimensional algebra
-
Potsdam, Germany. Available at
-
J. Morton, 2d and 3d TQFTs and higher-dimensional algebra, poster at the conference Loops '05, Potsdam, Germany. Available at http://math.ucr.edu/ ~morton/FHKposter.ps (2005).
-
(2005)
poster at the conference Loops '05
-
-
Morton, J.1
-
26
-
-
85025529248
-
PL homeomorphic manifolds are equivalent by elementary shellings
-
U. Pachner, PL homeomorphic manifolds are equivalent by elementary shellings, Europ. J. Combin. 12 (1991) 129-145.
-
(1991)
Europ. J. Combin
, vol.12
, pp. 129-145
-
-
Pachner, U.1
-
28
-
-
84896391582
-
-
A. A. Ranicki ed, Kluwer Academic Publishers, Dordrecht
-
A. A. Ranicki (ed.), The Hauptvermutung Book, K-Monographs in Mathematics, Vol. 1 (Kluwer Academic Publishers, Dordrecht, 1996).
-
(1996)
The Hauptvermutung Book, K-Monographs in Mathematics
, vol.1
-
-
-
29
-
-
0003479107
-
-
Springer, Berlin
-
C. P. Rourke and B. J. Sanderson, Introduction to Piecewise-Linear Topology, Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 69 (Springer, Berlin, 1972).
-
(1972)
Introduction to Piecewise-Linear Topology, Ergebnisse der Mathematik und ihrer Grenzgebiete
, vol.69
-
-
Rourke, C.P.1
Sanderson, B.J.2
-
30
-
-
52049109321
-
Topological and conformal field theory as Frobenius algebras, preprint
-
math.CT/0512076
-
I. Runkel, J. Fjelstad, J. Fuchs and Ch. Schweigert, Topological and conformal field theory as Frobenius algebras, preprint (2005), math.CT/0512076.
-
-
-
Runkel, I.1
Fjelstad, J.2
Fuchs, J.3
Schweigert, C.4
-
31
-
-
21844511781
-
Direct sum decompositions and indecomposable TQFTs
-
S. F. Sawin, Direct sum decompositions and indecomposable TQFTs, J. Math. Phys. 36(12) (1995) 6673-6680.
-
(1995)
J. Math. Phys
, vol.36
, Issue.12
, pp. 6673-6680
-
-
Sawin, S.F.1
-
32
-
-
36849043929
-
Low-dimensional topology and higher-order categories I
-
Dalhousie University, Halifax, Canada, available at
-
R. Street, Low-dimensional topology and higher-order categories I, Canadian Mathematical Society Annual Seminar, Dalhousie University, Halifax, Canada, available at http://www.maths.mq.edu.au/~street/LowDTop.pdf (1995).
-
(1995)
Canadian Mathematical Society Annual Seminar
-
-
Street, R.1
-
33
-
-
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(4) (1992) 865-902.
-
(1992)
Topology
, vol.31
, Issue.4
, pp. 865-902
-
-
Turaev, V.G.1
Viro, O.Y.2
-
34
-
-
0001750410
-
Portrait of the handle as a Hopf algebra
-
Geometry and Physics, eds. J. E. Andersen, J. Dupont et al, Marcel Dekker, New York
-
D. N. Yetter, Portrait of the handle as a Hopf algebra, in Geometry and Physics, eds. J. E. Andersen, J. Dupont et al., Lecture Notes in Pure and Applied Mathematics, Vol. 184 (Marcel Dekker, New York, 1997), pp. 481-502.
-
(1997)
Lecture Notes in Pure and Applied Mathematics
, vol.184
, pp. 481-502
-
-
Yetter, D.N.1
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