Invariants de rubans et algèbres quasi Hopf
Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Volume 46 (1994), Talk no. 1, 42 p.
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Altschuler, Daniel; Coste, Antoine. Invariants de rubans et algèbres quasi Hopf. Les rencontres physiciens-mathématiciens de Strasbourg -RCP25, Volume 46 (1994), Talk no. 1, 42 p. http://www.numdam.org/item/RCP25_1994__46__1_0/

[1] E. Witten, Communications in Mathematical Physics 121 (1989) 351. | MR | Zbl

[2] G. Moore, N. Seiberg, lectures at the Trieste and Banff schools, 1989. Commun. Math. Phys. 123 (1989) 177. | Zbl

[3] L. Alvarez-Gaumé, C. Gomez, G. Sierra, Nuclear Physics B319 (1989) 155; | MR

L. Alvarez-Gaumé, C. Gomez, G. SierraNuclear Physics B330 (1990) 347. | MR

[4] G. Felder, J. Fröhlich, G. Keller, Commun. Math. Phys. 124 (1989) 647. | MR | Zbl

[5] A. Alekseev, S. Shatashvili, Commun. Math. Phys. 133 (1990) 353. | MR | Zbl

[6] K. Gawedzki, Commun. Math. Phys. 139 (1991) 201. | MR | Zbl

[7] N. Reshetikhin, V. G. Turaev, Inv. Math. 103 (1991) 547. | MR | Zbl

[8] M. Rosso, séminaire Bourbaki 744 (1991)

M. Rosso ref. incluses Comm. Math. Phys. 117 (1988) 581 | MR

M. Rosso 124 (1989) 307. | MR

[9] V. Pasquier, H. Saleur, Nucl. Phys. B330 (1990) 523. | MR

P. Furlan, A. Ganchev, V. Petkova, Nucl. Phys. B243 (1990) 205. | MR

M. Walton, Nucl. Phys. B340 (1990) 777. | MR

J. Fuchs, P. Van Driel, Nucl. Phys. B346 (1990) 632. | MR

F. Goodman, H. Wenzl, Advances in Math. 82 (1990) 244. | MR | Zbl

G. Keller, Letters in Mathematical Physics 21 (1991) 273. | MR | Zbl

[10] T. Kohno, Ann. Inst. Fourier Grenoble 37 (1987) 139. | Numdam | MR | Zbl

A. Tsuchiya, Y. Kanie, Lett. Math. Phys. 13 (1987) 303; | MR | Zbl

A. Tsuchiya, Y. Kanie Adv. Studies in Pure Mathematics 16 (1988) 297. | MR

[11] V. G. Drinfeld, Quantum groups, proc. of the ICM, Berkeley, 1986, et réfèrences subséquentes.

M. Jimbo, Lett. Math. Phys. 10 (1985) 63. | MR | Zbl

L. Faddeev, N. Reshetikhin, L. Takhtajan, Quantization of Lie groups and Lie algebras, LOMI preprint E-14-87, Leningrad 1987; Leningrad Math. J. 1 (1990) 193. | MR | Zbl

[12]M. Atiyah, The Geometry and Physics of Knots (Cambridge Univ. Press, 1990). | MR | Zbl

P. Degiovanni, Théories topologiques, développements récents, Notes de cours Ecole Normale Supérieure prètirage, June 1991.

P. Degiovanni, Commun. Math. Phys. 145 (1992) 459. | MR | Zbl

S. Piunikhin, Reshetikhin-Turaev and Kontsevich-Kohno-Crane 3-manifold invariants coincide, Moscow preprint (1991). | Zbl

[13] R. Kirby, P. Melvin, On the 3-Manifolds Invariants of Witten and Reshetikhin-Turaev for sl(2,C), preprint (1991). | MR | Zbl

[14] V. G. Turaev, H. Wenzl, Quantum invariants of 3-manifolds associated with classical simple Lie algebras, preprint, 1991 | Zbl

[15] D. Altschuler, A. Coste, Invariants of three-manifolds from finite groups, preprint CERN-TH 6204/91, to appear in proc. XXth Int. Conf. on Diff. Geometric Methods in Theor. Phys., New York City, 1991 (World Scientific, Singapore, 1991). | MR

[16] D. Altschuler, A. Coste, Quasi-quantum groups, knots, three-Manifolds, and topological field theory, Communications in Mathematical Physics 150 (1992) 83. | MR | Zbl

[17] D. Altschuler, A. Coste, Invariants of 3-manifolds from finite groups cohomology, Journal of Geometry and Physics, 11 (1993) 191. | MR | Zbl

[18] A. Kirillov, N. Reshetikhin, Representations of the algebra Uq(sl(2)), q-orthogonal polynomials and invariants of links, compte rendus d'un congrès à Luminy, 1987 (V. G. Kac, ed.), Adv. Series in Math. Phys. vol. 7, p. 285-339 (World Scientific, Singapore, 1988). | MR

[19] N. Reshetikhin, Quantized universal enveloping algebras, the Yang-Baxter equation and invariants of links I and II. LOMI preprints E-4-87 and E-17-87, Leningrad 1988.

N. Reshetikhin, Leningrad Math. J. 1 (1990) 491. | MR

V. G. Turaev, Inv. Math. 92 (1988) 527. | MR | Zbl

[20] N. Reshetikhin, V. G. Turaev, Commun. Math. Phys. 127 (1990) 1. | MR | Zbl

[21] V. G. Drinfeld, Quasi-Hopf algebras and the Knizhnik-Zamolodchikov equations, in Problems of modern quantum field theory, A. Belavin et al. ed. (Springer, 1990). | MR

V. G. Drinfeld, Leningrad Math. J. 1 (1991) 1419. | MR

[22] R. Dijkgraaf, V. Pasquier, P. Roche, in proc. workshop Integrable Systems and Quantum Groups, Pavia, 1990; and in proc. Int. coll. on Modern Quantum Field Theory, Tata Institute, Bombay, 1990. | Zbl

[23] P. Roche, Thèse de doctorat, Ecole Polytechnique, 1991.

[24] R. Dijkgraaf, C. Vafa, E. Verlinde, H. Verlinde, Commun. Math. Phys. 123 (1989) 485 | MR | Zbl

[25] R. Dijkgraaf, E. Witten, Commun. Math. Phys. 129 (1990) 393. | MR | Zbl

[26] G. Mack and V. Schomerus, Quasi-Hopf quantum symmetry in quantum theory, preprint DESY-91-037. | MR

G. Mack and V. Schomerus, Phys. Lett. 267B (1991) 213.

[27] D. Freed and F. Quinn, Chern-Simons theory with finite gauge groups, preprint, 1991. | MR | Zbl

L. Kauffman, D. Radford, A necessary and sufficient condition for a finite-dimensional Drinfeld double to be a ribbon Hopf algebra, RIMS preprint, Kyoto 1991 | MR | Zbl

M. Hennings, Math. Proc. Camb. Phil. Soc. 109 (1991) 59. | MR | Zbl

D. Freed and R. Gompf, Computer calculation of Witten's 3-manifold invariant, preprint, 1990. | Zbl

[28] Joyal, Street.

J. Benabou Comptes Rendus Acad. Sci. Paris, vol 256 (1963) 1887. | Zbl

[29] S. Mac Lane, Categories for the working mathematician (Springer, New York, 1971 | MR | Zbl

[30] V. G. Drinfeld, Leningrad Math. J. 1 (1990) 321. | MR

[31] K. Reidemeister Knot Theory (version anglaise commentée) BCS associates, Moscow, Idaho USA (1983). | MR | Zbl

[32] L. Kauffman, On Knots (Princeton Univ. Press, 1987); proc. Johns Hopkins Florence workshop 1989 (World Scientific). | MR | Zbl

[33] H. Saleur, J.-B. Zuber, Integrable lattice models and quantum groups, prétirage Saclay SPhT/90-071, compte rendus école de Trieste, 1990. | MR

[34] D. Altschuler, L. Freidel, On universal Vassiliev invariants, prétirage Zurich et Enslapp-1, disponible sur hep-th (1994). | MR | Zbl