Les invariants récents des variétés de dimension 3
Séminaire Bourbaki (1994-1995)
- Volume: 37, page 225-250
- ISSN: 0303-1179
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topVogel, Pierre. "Les invariants récents des variétés de dimension 3." Séminaire Bourbaki 37 (1994-1995): 225-250. <http://eudml.org/doc/110200>.
@article{Vogel1994-1995,
author = {Vogel, Pierre},
journal = {Séminaire Bourbaki},
keywords = {knots and links; 3-manifolds; invariants; quantum field theory},
language = {fre},
pages = {225-250},
publisher = {Société Mathématique de France},
title = {Les invariants récents des variétés de dimension 3},
url = {http://eudml.org/doc/110200},
volume = {37},
year = {1994-1995},
}
TY - JOUR
AU - Vogel, Pierre
TI - Les invariants récents des variétés de dimension 3
JO - Séminaire Bourbaki
PY - 1994-1995
PB - Société Mathématique de France
VL - 37
SP - 225
EP - 250
LA - fre
KW - knots and links; 3-manifolds; invariants; quantum field theory
UR - http://eudml.org/doc/110200
ER -
References
top- [BHMV1] C. Blanchet, N. Habegger, G. Masbaum et P. Vogel - Three-manifold invariants derived from the Kauffman bracket, Topology31 (1992), 685-699. Zbl0771.57004MR1191373
- [BHMV2] C. Blanchet, N. Habegger, G. Masbaum et P. Vogel - Topological quantum field theories derived from the Kauffman bracket, Topology, à paraître. Zbl0887.57009MR1362791
- [BW] J. Birman et H. Wenzl - Braids, link polynomials and a new algebra, Trans. Amer. Math. Soc.313 (1989), 249-273. Zbl0684.57004MR992598
- [D1] V. Drinfeld - Quantum groups, Proceedings for the ICM, Berkeley (1986), 798-820. Zbl0667.16003MR934283
- [D2] V. Drinfeld - On almost cocommutative Hopf algebras, Algebra i Analis (1) 2 (1989), 30-46 (en russe). Zbl0718.16035MR1025154
- [FR] R. Fenn et C. Rourke - On Kirby's calculus of links, Topology18 (1979), 1-15. Zbl0413.57006MR528232
- [J] M. Jimbo - Introduction to the Yang-Baxter equation, braid group, knot theory and statistical mechanics, World Scientific (1989), 111-134. Zbl0716.17011MR1062425
- [Ka1] L.H. Kauffman - State models and the Jones polynomial, Topology26 (1987), 395-407. Zbl0622.57004MR899057
- [Ka2] L.H. Kauffman - An invariant of regular isotopy, Trans. Amer. Math. Soc.318 (1990), 417-471. Zbl0763.57004MR958895
- [Ki] R. Kirby - A calculus for framed links, Invent. Math.45 (1978), 33-56. Zbl0377.55001MR467753
- [KM] R. Kirby et R. Melvin - On the 3-manifold invariants of Witten and Reshetikhin-Turaev for sl2(C), Invent. Math.105 (1990), 473-545. Zbl0745.57006
- [Li1] W.B.R. Lickorish - A representation of orientable combinatorial 3-manifolds, Ann. Math.76 (1962), 531-540. Zbl0106.37102MR151948
- [Li2] W.B.R. Lickorish - Three-manifold invariants and the Temperley-Lieb alge- bra, Comm. Math. Helv.67 (1992), 571-591. Zbl0779.57008
- [Lu] G. Lusztig - Quantum deformations of certain simple modules over enveloping algebras, Adv. Math.70 (1988), 237-249. Zbl0651.17007MR954661
- [Ma] S. Mac Lane - Categories for the working mathematician, Graduate Texts in Math.5Springer-Verlag (1971). Zbl0232.18001MR354798
- [Ro] M. Rosso - Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra, Comm. Math. Phys.117 (1988), 581-593. Zbl0651.17008MR953821
- [RT1] N.Yu. Reshetikhin et V.G. Turaev - Ribbon graphs and their invariants derived from quantum groups, Comm. Math. Phys.127 (1990), 1-26. Zbl0768.57003MR1036112
- [RT2] N.Yu. Reshetikhin et V.G. Turaev - Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math.103 (1991), 547-597. Zbl0725.57007MR1091619
- [Tu] V.G. Turaev - Quantum invariants of 3-manifolds, preprint 1992.
- [TW] V.G. Turav et H. Wenzl - Quantum invariants of 3-manifolds associated with classical simple Lie algebras, Int. J. of Math.4, 2 (1993), 323-358. Zbl0784.57007MR1217386
- [Wa] K. Walker - On Witten's 3-manifold invariants, preprint 1991.
- [Wal] A.H. Wallace - Modifications and cobounding manifolds, Can. J. of Math.12 (1960), 503-528. Zbl0108.36101MR125588
- [Wi] E. Witten - Quantum field theory and the Jones polynomial, Comm. Math. Phys.121 (1989), 351-399. Zbl0667.57005MR990772
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