Les invariants récents des variétés de dimension 3

Pierre Vogel

Séminaire Bourbaki (1994-1995)

  • Volume: 37, page 225-250
  • ISSN: 0303-1179

How to cite

top

Vogel, 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
  1. [BHMV1] C. Blanchet, N. Habegger, G. Masbaum et P. Vogel - Three-manifold invariants derived from the Kauffman bracket, Topology31 (1992), 685-699. Zbl0771.57004MR1191373
  2. [BHMV2] C. Blanchet, N. Habegger, G. Masbaum et P. Vogel - Topological quantum field theories derived from the Kauffman bracket, Topology, à paraître. Zbl0887.57009MR1362791
  3. [BW] J. Birman et H. Wenzl - Braids, link polynomials and a new algebra, Trans. Amer. Math. Soc.313 (1989), 249-273. Zbl0684.57004MR992598
  4. [D1] V. Drinfeld - Quantum groups, Proceedings for the ICM, Berkeley (1986), 798-820. Zbl0667.16003MR934283
  5. [D2] V. Drinfeld - On almost cocommutative Hopf algebras, Algebra i Analis (1) 2 (1989), 30-46 (en russe). Zbl0718.16035MR1025154
  6. [FR] R. Fenn et C. Rourke - On Kirby's calculus of links, Topology18 (1979), 1-15. Zbl0413.57006MR528232
  7. [J] M. Jimbo - Introduction to the Yang-Baxter equation, braid group, knot theory and statistical mechanics, World Scientific (1989), 111-134. Zbl0716.17011MR1062425
  8. [Ka1] L.H. Kauffman - State models and the Jones polynomial, Topology26 (1987), 395-407. Zbl0622.57004MR899057
  9. [Ka2] L.H. Kauffman - An invariant of regular isotopy, Trans. Amer. Math. Soc.318 (1990), 417-471. Zbl0763.57004MR958895
  10. [Ki] R. Kirby - A calculus for framed links, Invent. Math.45 (1978), 33-56. Zbl0377.55001MR467753
  11. [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
  12. [Li1] W.B.R. Lickorish - A representation of orientable combinatorial 3-manifolds, Ann. Math.76 (1962), 531-540. Zbl0106.37102MR151948
  13. [Li2] W.B.R. Lickorish - Three-manifold invariants and the Temperley-Lieb alge- bra, Comm. Math. Helv.67 (1992), 571-591. Zbl0779.57008
  14. [Lu] G. Lusztig - Quantum deformations of certain simple modules over enveloping algebras, Adv. Math.70 (1988), 237-249. Zbl0651.17007MR954661
  15. [Ma] S. Mac Lane - Categories for the working mathematician, Graduate Texts in Math.5Springer-Verlag (1971). Zbl0232.18001MR354798
  16. [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
  17. [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
  18. [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
  19. [Tu] V.G. Turaev - Quantum invariants of 3-manifolds, preprint 1992. 
  20. [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
  21. [Wa] K. Walker - On Witten's 3-manifold invariants, preprint 1991. 
  22. [Wal] A.H. Wallace - Modifications and cobounding manifolds, Can. J. of Math.12 (1960), 503-528. Zbl0108.36101MR125588
  23. [Wi] E. Witten - Quantum field theory and the Jones polynomial, Comm. Math. Phys.121 (1989), 351-399. Zbl0667.57005MR990772

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.