-
1
-
-
84981750249
-
Mapping class groups and their relationship to braid groups
-
J. S. Birman, Mapping class groups and their relationship to braid groups, Commun. Pure Appl. Math. 22 (1969), 213-238.
-
(1969)
Commun. Pure Appl. Math.
, vol.22
, pp. 213-238
-
-
Birman, J.S.1
-
2
-
-
51249192766
-
Die Gruppe der Abbildungsklassen
-
M. Dehn, Die Gruppe der Abbildungsklassen, Acta Math. 69 (1938), 135-206.
-
(1938)
Acta Math.
, vol.69
, pp. 135-206
-
-
Dehn, M.1
-
4
-
-
0001369661
-
A presentation for the mapping class group of a closed orientable surface
-
A. Hatcher and W. Thurston, A presentation for the mapping class group of a closed orientable surface, Topology 19 (1980), 221-237.
-
(1980)
Topology
, vol.19
, pp. 221-237
-
-
Hatcher, A.1
Thurston, W.2
-
5
-
-
0001789715
-
Generators for the mapping class group
-
S. P. Humphries, Generators for the mapping class group, in Lect. Notes Math. 722 (1979) ,44-47.
-
(1979)
Lect. Notes Math.
, vol.722
, pp. 44-47
-
-
Humphries, S.P.1
-
6
-
-
0003075540
-
Tortile Yang-Baxter operators in tensor categories
-
A. Joyal and R. Street, Tortile Yang-Baxter operators in tensor categories, J. Pure Appl. Alg. 71 (1991) 43-51.
-
(1991)
J. Pure Appl. Alg.
, vol.71
, pp. 43-51
-
-
Joyal, A.1
Street, R.2
-
7
-
-
0002427934
-
Topological invariants for 3-manifolds using representations of mapping class groups I
-
T. Kohno, Topological invariants for 3-manifolds using representations of mapping class groups I, Topology 31 (1992), n. 2, 203-230.
-
(1992)
Topology
, vol.31
, Issue.2
, pp. 203-230
-
-
Kohno, T.1
-
8
-
-
0642301251
-
Three-manifold invariants derived from conformal field theory and projective representations of modular groups
-
T. Kohno, Three-manifold invariants derived from conformal field theory and projective representations of modular groups, Int. J. of Modern Phys. B 6 (1992), n. 11-12, 1795-1805.
-
(1992)
Int. J. of Modern Phys. B
, vol.6
, Issue.11-12
, pp. 1795-1805
-
-
Kohno, T.1
-
9
-
-
0001287660
-
A representation of orientable combinatorial 3-manifolds
-
W. B. R. Lickorish, A representation of orientable combinatorial 3-manifolds, Annals Math. 76 (1962), n. 3, 531-540.
-
(1962)
Annals Math.
, vol.76
, Issue.3
, pp. 531-540
-
-
Lickorish, W.B.R.1
-
10
-
-
84976048299
-
A finite set of generators for the homeotopy group of a 2-manifold
-
W. B. R. Lickorish, A finite set of generators for the homeotopy group of a 2-manifold, Proc. Camb. Phil. Soc. 60 (1964), 769-778.
-
(1964)
Proc. Camb. Phil. Soc.
, vol.60
, pp. 769-778
-
-
Lickorish, W.B.R.1
-
11
-
-
0642331934
-
-
Preprint ITP-90-30E, ITP-90-59E, Kiev, Unpublished
-
V. V. Lyubashenko, Tensor categories and RCFT I,II, Preprint ITP-90-30E, ITP-90-59E, Kiev, 1990. Unpublished.
-
(1990)
Tensor Categories and RCFT I,II
-
-
Lyubashenko, V.V.1
-
12
-
-
0000554574
-
Tangles and Hopf algebras in braided categories
-
V. V. Lyubashenko, Tangles and Hopf algebras in braided categories, J. Pure Appl. Algebra 98 (1995), n. 3, 245-278.
-
(1995)
J. Pure Appl. Algebra
, vol.98
, Issue.3
, pp. 245-278
-
-
Lyubashenko, V.V.1
-
13
-
-
33748919033
-
Modular transformations for tensor categories
-
V. V. Lyubashenko, Modular transformations for tensor categories, J. Pure Appl. Algebra 98 (1995), n. 3, 279-327.
-
(1995)
J. Pure Appl. Algebra
, vol.98
, Issue.3
, pp. 279-327
-
-
Lyubashenko, V.V.1
-
15
-
-
85033736461
-
Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity
-
V. Lyubashenko, Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity, (to appear in Commun. Math. Phys.).
-
Commun. Math. Phys.
-
-
Lyubashenko, V.1
-
16
-
-
0000977747
-
Braided groups and quantum Fourier transform
-
V. V. Lyubashenko and S. Majid, Braided groups and quantum Fourier transform, J. Algebra 166 (1994), n. 3, 506-528.
-
(1994)
J. Algebra
, vol.166
, Issue.3
, pp. 506-528
-
-
Lyubashenko, V.V.1
Majid, S.2
-
18
-
-
0003146836
-
Natural associativity and commutativity
-
S. Mac Lane, Natural associativity and commutativity, Rice Univ. Studies 49 (1963), 28-46.
-
(1963)
Rice Univ. Studies
, vol.49
, pp. 28-46
-
-
Mac Lane, S.1
-
19
-
-
0000744050
-
Über Automorphismen von Fundamentalgruppen berandeter Flächen
-
W. Magnus, Über Automorphismen von Fundamentalgruppen berandeter Flächen, Math. Ann. 109 (1934), 617-646.
-
(1934)
Math. Ann.
, vol.109
, pp. 617-646
-
-
Magnus, W.1
-
20
-
-
0346405348
-
Braided groups
-
S. Majid, Braided groups, J. Pure Appl. Algebra 86 (1993), 187-221.
-
(1993)
J. Pure Appl. Algebra
, vol.86
, pp. 187-221
-
-
Majid, S.1
-
21
-
-
0346763470
-
Classical and Quantum Conformal Field Theory
-
G. Moore and N. Seiberg, Classical and Quantum Conformal Field Theory, Commun. Math. Phys. 123 (1989), 177-254.
-
(1989)
Commun. Math. Phys.
, vol.123
, pp. 177-254
-
-
Moore, G.1
Seiberg, N.2
-
22
-
-
34249960869
-
Ribbon Graphs and Their Invariants Derived from Quantum Groups
-
N. Yu. Reshetikhin and V. G. Turaev, Ribbon Graphs and Their Invariants Derived from Quantum Groups, Commun. Math. Phys. 127 (1990), 1-26.
-
(1990)
Commun. Math. Phys.
, vol.127
, pp. 1-26
-
-
Reshetikhin, N.Yu.1
Turaev, V.G.2
-
23
-
-
0542373499
-
Invariants of 3-manifolds via link polynomials and quantum groups
-
N. Reshetikhin and V. G. Turaev, Invariants of 3-manifolds via link polynomials and quantum groups, Invent. math. 103 (1991), 547-597.
-
(1991)
Invent. Math.
, vol.103
, pp. 547-597
-
-
Reshetikhin, N.1
Turaev, V.G.2
-
24
-
-
84976173386
-
Braid groups and the group of homeomorphisms of a surface
-
G. P. Scott, Braid groups and the group of homeomorphisms of a surface, Proc. Camb. Phil. Soc. 68 (1970), 605-617.
-
(1970)
Proc. Camb. Phil. Soc.
, vol.68
, pp. 605-617
-
-
Scott, G.P.1
-
25
-
-
38149146658
-
Tortile tensor categories
-
M. C. Shum, Tortile tensor categories, J. Pure Appl. Algebra 93 (1994), n. 1 , 57-110.
-
(1994)
J. Pure Appl. Algebra
, vol.93
, Issue.1
, pp. 57-110
-
-
Shum, M.C.1
-
27
-
-
51249180344
-
A simple presentation for the mapping class group of an orientable surface
-
B. Wajnryb, A simple presentation for the mapping class group of an orientable surface, Israel J. Math. 45 (1983), no. 2-3, 157-174.
-
(1983)
Israel J. Math.
, vol.45
, Issue.2-3
, pp. 157-174
-
-
Wajnryb, B.1
-
29
-
-
14644388676
-
Quantum field theory and the Jones polynomial
-
E. Witten, Quantum field theory and the Jones polynomial, Commun. Math. Phys. 121 (1989), 351-399.
-
(1989)
Commun. Math. Phys.
, vol.121
, pp. 351-399
-
-
Witten, E.1
|