-
1
-
-
0000321918
-
The equality of 3-manifold invariants
-
hep-th/9406019 MR 1342967
-
Barrett J.W., and Westbury B.W. The equality of 3-manifold invariants. Math. Proc. Cambridge Philos. Soc. 118 9 (1995) 503-510. hep-th/9406019 MR 1342967
-
(1995)
Math. Proc. Cambridge Philos. Soc.
, vol.118
, Issue.9
, pp. 503-510
-
-
Barrett, J.W.1
Westbury, B.W.2
-
2
-
-
21444457888
-
Invariants of piecewise-linear 3-manifolds
-
hep-th/9311155 MR 1357878
-
Barrett J.W., and Westbury B.W. Invariants of piecewise-linear 3-manifolds. Trans. Amer. Math. Soc. 348 10 (1996) 3997-4022. hep-th/9311155 MR 1357878
-
(1996)
Trans. Amer. Math. Soc.
, vol.348
, Issue.10
, pp. 3997-4022
-
-
Barrett, J.W.1
Westbury, B.W.2
-
3
-
-
0033541888
-
Spherical categories
-
hep-th/9310164 MR 1686423
-
Barrett J.W., and Westbury B.W. Spherical categories. Adv. Math. 143 2 (1999) 357-375. hep-th/9310164 MR 1686423
-
(1999)
Adv. Math.
, vol.143
, Issue.2
, pp. 357-375
-
-
Barrett, J.W.1
Westbury, B.W.2
-
5
-
-
0033570847
-
*-structure
-
arXiv:math/9805116 [math.QA] MR 1726707
-
*-structure. J. Algebra 221 2 (1999) 385-438. arXiv:math/9805116 [math.QA] MR 1726707
-
(1999)
J. Algebra
, vol.221
, Issue.2
, pp. 385-438
-
-
Böhm, G.1
Nill, F.2
Szlachányi, K.3
-
6
-
-
0002430578
-
*-Hopf algebras: The coassociative symmetry of non-integral dimensions
-
Quantum Groups and Quantum Spaces. Warsaw, 1995, Polish Academy of Sciences, Warsaw MR 1481730
-
*-Hopf algebras: The coassociative symmetry of non-integral dimensions. Quantum Groups and Quantum Spaces. Warsaw, 1995. Banach Center Publ. vol. 40 (1997), Polish Academy of Sciences, Warsaw 9-19 MR 1481730
-
(1997)
Banach Center Publ.
, vol.40
, pp. 9-19
-
-
Böhm, G.1
Szlachányi, K.2
-
7
-
-
0034311674
-
Weak Hopf algebras II. Representation theory, dimensions, and the Markov trace
-
arXiv:math/9906045 [math.QA] MR 1793595
-
Böhm G., and Szlachányi K. Weak Hopf algebras II. Representation theory, dimensions, and the Markov trace. J. Algebra 233 1 (2000) 156-212. arXiv:math/9906045 [math.QA] MR 1793595
-
(2000)
J. Algebra
, vol.233
, Issue.1
, pp. 156-212
-
-
Böhm, G.1
Szlachányi, K.2
-
8
-
-
22744457010
-
Hopf algebroid symmetry of abstract Frobenius extensions of depth 2
-
arXiv:math/0305136 [math.QA] MR 2102458
-
Böhm G., and Szlachányi K. Hopf algebroid symmetry of abstract Frobenius extensions of depth 2. Comm. Algebra 32 11 (2004) 4433-4464. arXiv:math/0305136 [math.QA] MR 2102458
-
(2004)
Comm. Algebra
, vol.32
, Issue.11
, pp. 4433-4464
-
-
Böhm, G.1
Szlachányi, K.2
-
9
-
-
21844501619
-
Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases
-
hep-th/9405183 MR 1295461
-
Crane L., and Frenkel I.B. Four-dimensional topological quantum field theory, Hopf categories, and the canonical bases. J. Math. Phys. 35 10 (1994) 5136-5154. hep-th/9405183 MR 1295461
-
(1994)
J. Math. Phys.
, vol.35
, Issue.10
, pp. 5136-5154
-
-
Crane, L.1
Frenkel, I.B.2
-
10
-
-
0039414357
-
Coherence theorems via knot theory
-
MR 1154897
-
Freyd P., and Yetter D.N. Coherence theorems via knot theory. J. Pure Appl. Algebra 78 1 (1992) 49-76 MR 1154897
-
(1992)
J. Pure Appl. Algebra
, vol.78
, Issue.1
, pp. 49-76
-
-
Freyd, P.1
Yetter, D.N.2
-
11
-
-
0036278279
-
Spin foam diagrammatics and topological invariance
-
gr-qc/0111022 MR 1894581
-
Girelli F., Oeckl R., and Perez A. Spin foam diagrammatics and topological invariance. Classical Quantum Gravity 19 (2002) 1093-1108. gr-qc/0111022 MR 1894581
-
(2002)
Classical Quantum Gravity
, vol.19
, pp. 1093-1108
-
-
Girelli, F.1
Oeckl, R.2
Perez, A.3
-
13
-
-
0003075540
-
Tortile Yang-Baxter operators in tensor categories
-
MR 1107651
-
Joyal A., and Street R.H. Tortile Yang-Baxter operators in tensor categories. J. Pure Appl. Algebra 71 1 (1991) 43-51 MR 1107651
-
(1991)
J. Pure Appl. Algebra
, vol.71
, Issue.1
, pp. 43-51
-
-
Joyal, A.1
Street, R.H.2
-
14
-
-
0003209688
-
Temperly-Lieb Recoupling Theory and Invariants of 3-manifolds
-
Princeton Univ. Press, Princeton, NJ MR 1280463
-
Kauffman L.H., and Lins S.L. Temperly-Lieb Recoupling Theory and Invariants of 3-manifolds. Ann. of Math. Stud. vol. 134 (1994), Princeton Univ. Press, Princeton, NJ MR 1280463
-
(1994)
Ann. of Math. Stud.
, vol.134
-
-
Kauffman, L.H.1
Lins, S.L.2
-
15
-
-
0002309779
-
Involutory Hopf algebras and 3-manifold invariants
-
arXiv:math/9201301 [math.QA] MR 1082836
-
Kuperberg G. Involutory Hopf algebras and 3-manifold invariants. Internat. J. Math. 2 1 (1991) 41-66. arXiv:math/9201301 [math.QA] MR 1082836
-
(1991)
Internat. J. Math.
, vol.2
, Issue.1
, pp. 41-66
-
-
Kuperberg, G.1
-
16
-
-
36849091314
-
State sum construction of two-dimensional open-closed Topological Quantum Field Theories
-
arXiv:math/0602047 [math.QA] MR 2375819
-
Lauda A.D., and Pfeiffer H. State sum construction of two-dimensional open-closed Topological Quantum Field Theories. J. Knot Theory Ramifications 16 9 (2007) 1121-1163. arXiv:math/0602047 [math.QA] MR 2375819
-
(2007)
J. Knot Theory Ramifications
, vol.16
, Issue.9
, pp. 1121-1163
-
-
Lauda, A.D.1
Pfeiffer, H.2
-
17
-
-
0000977747
-
Braided groups and quantum Fourier transform
-
MR 1280590
-
Lyubashenko V., and Majid S. Braided groups and quantum Fourier transform. J. Algebra 166 3 (1994) 506-528 MR 1280590
-
(1994)
J. Algebra
, vol.166
, Issue.3
, pp. 506-528
-
-
Lyubashenko, V.1
Majid, S.2
-
18
-
-
0037805003
-
Categories for the Working Mathematician
-
Springer, Berlin MR 1712872
-
MacLane S. Categories for the Working Mathematician. Grad. Texts in Math. vol. 5 (1973), Springer, Berlin MR 1712872
-
(1973)
Grad. Texts in Math.
, vol.5
-
-
MacLane, S.1
-
19
-
-
0000277570
-
Representations, duals and quantum doubles of monoidal categories
-
MR 1151906
-
Majid S. Representations, duals and quantum doubles of monoidal categories. Rend. Circ. Mat. Palermo (2) Suppl. 26 (1991) 197-206 MR 1151906
-
(1991)
Rend. Circ. Mat. Palermo (2) Suppl.
, vol.26
, pp. 197-206
-
-
Majid, S.1
-
20
-
-
0040841055
-
Braided groups and duals of monoidal categories
-
Category Theory 1991. Montreal, PQ, 1991, Amer. Math. Soc., Providence, RI MR 1192156
-
Majid S. Braided groups and duals of monoidal categories. Category Theory 1991. Montreal, PQ, 1991. Canad. Math. Soc. Conf. Proc. vol. 13 (1992), Amer. Math. Soc., Providence, RI 329-343 MR 1192156
-
(1992)
Canad. Math. Soc. Conf. Proc.
, vol.13
, pp. 329-343
-
-
Majid, S.1
-
21
-
-
0037400955
-
From subfactors to categories and topology. I. Frobenius algebras in and Morita equivalence of tensor categories
-
arXiv:math/0111204 [math.CT] MR 1966524
-
Müger M. From subfactors to categories and topology. I. Frobenius algebras in and Morita equivalence of tensor categories. J. Pure Appl. Algebra 180 1-2 (2003) 81-157. arXiv:math/0111204 [math.CT] MR 1966524
-
(2003)
J. Pure Appl. Algebra
, vol.180
, Issue.1-2
, pp. 81-157
-
-
Müger, M.1
-
22
-
-
0037400855
-
From subfactors to categories and topology. II. The quantum double of tensor categories and subfactors
-
arXiv:math/0111205 [math.CT] MR 1966525
-
Müger M. From subfactors to categories and topology. II. The quantum double of tensor categories and subfactors. J. Pure Appl. Algebra 180 1-2 (2003) 159-219. arXiv:math/0111205 [math.CT] MR 1966525
-
(2003)
J. Pure Appl. Algebra
, vol.180
, Issue.1-2
, pp. 159-219
-
-
Müger, M.1
-
23
-
-
0004210018
-
-
preprint. arXiv:math/9805104 [math.QA]
-
Nill F. Axioms for weak bialgebras. preprint (1998). arXiv:math/9805104 [math.QA]
-
(1998)
Axioms for weak bialgebras
-
-
Nill, F.1
-
24
-
-
0037410575
-
Generalized lattice gauge theory, spin foams and state sum invariants
-
hep-th/0110259 MR 1976954
-
Oeckl R. Generalized lattice gauge theory, spin foams and state sum invariants. J. Geom. Phys. 46 3-4 (2003) 308-354. hep-th/0110259 MR 1976954
-
(2003)
J. Geom. Phys.
, vol.46
, Issue.3-4
, pp. 308-354
-
-
Oeckl, R.1
-
26
-
-
34249960869
-
Ribbon graphs and their invariants derived from quantum groups
-
MR 1036112
-
Reshetikhin N., and Turaev V.G. Ribbon graphs and their invariants derived from quantum groups. Comm. Math. Phys. 127 1 (1990) 1-26 MR 1036112
-
(1990)
Comm. Math. Phys.
, vol.127
, Issue.1
, pp. 1-26
-
-
Reshetikhin, N.1
Turaev, V.G.2
-
27
-
-
0003243309
-
Tannaka duality for arbitrary Hopf algebras
-
Fischer, München MR 1623637
-
Schauenburg P. Tannaka duality for arbitrary Hopf algebras. Algebra Ber. vol. 66 (1992), Fischer, München MR 1623637
-
(1992)
Algebra Ber.
, vol.66
-
-
Schauenburg, P.1
-
28
-
-
34547813792
-
Adjointable monoidal functors and quantum groupoids
-
Hopf Algebras in Noncommutative Geometry and Physics, Dekker, New York. arXiv:math/0301253 [math.QA] MR 2106937
-
Szlachányi K. Adjointable monoidal functors and quantum groupoids. Hopf Algebras in Noncommutative Geometry and Physics. Lect. Notes Pure Appl. Math. vol. 239 (2005), Dekker, New York 291-307. arXiv:math/0301253 [math.QA] MR 2106937
-
(2005)
Lect. Notes Pure Appl. Math.
, vol.239
, pp. 291-307
-
-
Szlachányi, K.1
-
30
-
-
44049114062
-
State sum invariants of 3-manifolds and quantum 6j-symbols
-
MR 1191386
-
Turaev V.G., and Viro O.Y. State sum invariants of 3-manifolds and quantum 6j-symbols. Topology 31 4 (1992) 865-902 MR 1191386
-
(1992)
Topology
, vol.31
, Issue.4
, pp. 865-902
-
-
Turaev, V.G.1
Viro, O.Y.2
|