@incollection{SB_1989-1990__32__17_0, author = {Cartier, Pierre}, title = {D\'eveloppements r\'ecents sur les groupes de tresses. {Applications} \`a la topologie et \`a l'alg\`ebre}, booktitle = {S\'eminaire Bourbaki : volume 1989/90, expos\'es 715-729}, series = {Ast\'erisque}, note = {talk:716}, pages = {17--67}, publisher = {Soci\'et\'e math\'ematique de France}, number = {189-190}, year = {1990}, mrnumber = {1099871}, zbl = {0737.57001}, language = {fr}, url = {http://archive.numdam.org/item/SB_1989-1990__32__17_0/} }
TY - CHAP AU - Cartier, Pierre TI - Développements récents sur les groupes de tresses. Applications à la topologie et à l'algèbre BT - Séminaire Bourbaki : volume 1989/90, exposés 715-729 AU - Collectif T3 - Astérisque N1 - talk:716 PY - 1990 SP - 17 EP - 67 IS - 189-190 PB - Société mathématique de France UR - http://archive.numdam.org/item/SB_1989-1990__32__17_0/ LA - fr ID - SB_1989-1990__32__17_0 ER -
%0 Book Section %A Cartier, Pierre %T Développements récents sur les groupes de tresses. Applications à la topologie et à l'algèbre %B Séminaire Bourbaki : volume 1989/90, exposés 715-729 %A Collectif %S Astérisque %Z talk:716 %D 1990 %P 17-67 %N 189-190 %I Société mathématique de France %U http://archive.numdam.org/item/SB_1989-1990__32__17_0/ %G fr %F SB_1989-1990__32__17_0
Cartier, Pierre. Développements récents sur les groupes de tresses. Applications à la topologie et à l'algèbre, dans Séminaire Bourbaki : volume 1989/90, exposés 715-729, Astérisque, no. 189-190 (1990), Exposé no. 716, 51 p. http://archive.numdam.org/item/SB_1989-1990__32__17_0/
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and -[20] Quantum field theory and the Jones polynomial, Comm. Math. Phys. 121 (1989), p. 351-399. | MR | Zbl
-[1] Hopf algebras and the quantum Yang-Baxter equation, Sov. Math. Dokl. 32 (1985), p. 254-258. | MR | Zbl
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-[3] Groupes quantiques [d'après V. Drinfeld], Sém. Bourbaki, exp. n° 685, juin 1987, Astérisque 152-153 (1987), p. 305-319. Sur les représentations des groupes quantiques : | Numdam | MR | Zbl
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-[8] Sur les algèbres de Hopf presque cocommutatives, à paraître dans "Algebra and Analysis", Leningrad, 1989 (en russe).
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-[10] Quantized universal enveloping algebras, the Yang-Baxter equation and invariants of links, I, II, LOMI preprint, Léningrad, 1988.
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, et -[13] The Yang-Baxter equation and invariants of links, Invent. Math. 92 (1988), p. 527-553. | MR | Zbl
-[14] Algebra of loops on surfaces, algebra of knots, and quantization, LOMI preprint, Léningrad, 1988. Référence supplémentaire : | MR
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-[5] Arrangements d'hyperplans : un chapitre de Géométrie combinatoire, Sém. Bourbaki, exp. n° 582, novembre 1980, Springer, Lect. Notes Math. 901 (1982), p. 1-22. | Numdam | Zbl
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and -[1] Jacobiennes généralisées, monodromie unipotente et intégrales itérées, Sém. Bourbaki, exp. n° 687, novembre 1987, Astérisque 161-162 (1988), p. 31-52. Voici quelques références complétant la bibliographie de cet exposé : | Numdam | Zbl
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and -[3] Homology of a local system on the complement of hyperplanes, Proc. Japan Acad. Sci. 62, série A (1986), p. 144-147. | MR | Zbl
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-[6] Monodromy groups and Hecke algebras, Usp. Math. Nauk 12 n° 4 (1987), p. 138- .
and -[7] A construction of integrable differential system associated with braid groups, in "Braids", Contemporary Math., Amer. Math. Soc. (1988), vol. 78, p. 1-11. | MR | Zbl
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and -[11] Vertex operators in conformal field theory on P1 and monodromy representations of braid group, Adv. Studies in Pure Math. 12 (1988), p. 297-372. | MR | Zbl
and -[1] Braid group, knot theory and statistical mechanics, Adv. Series Math. Phys. vol. 9, World Scientific (1989). | MR | Zbl
and (éditeurs) -[2] Conformal field theory and braid group (Nankai lectures in mathematical physics, 1988), World Scientific (1989).
and (éditeurs) -[3] Statistical mechanics and the Jones polynomial, in "Braids", Contemporary Math., Amer. Math. Soc. (1988), vol. 78, p. 263-297. | MR | Zbl
-[4] New invariants in the theory of knots, Astérisque 163-164 (1988), p. 137-219. | Numdam | MR | Zbl
-[5] Knots, abstract tensors and the Yang-Baxter equation, prépublication IHES/M/89/24 (avril 1989). | MR
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-[11] Groupes quantiques et modèles à vertex de V. Jones en théorie des nœuds, C.R. Acad. Sci. Paris, Série I, vol. 307 (1988), p. 207-210. | MR | Zbl
-[1] Conformal algebra and multipoint correlation functions in 2D statistical mechanics, Nucl. Phys. B240 (1984), p. 312-. | MR
and -[2] Statistics of fields, the Yang-Baxter equation and the theory of braids and links, Cargèse lectures 1987, G.'t Hooft (éditeur), Plenum Press (1988). | MR
-[3] Statistics and monodromy in two- and three-dimensional quantum field theory, in "Differential geometrical methods in mathematical physics", K. Bleuler et M.Werner (éditeurs), Dordrecht (1988). | MR
-[4] Einstein causality and Artin braids, prépublication, Freie Universität Berlin, 1988.
and -[5] Two-dimensional conformal field theory and three-dimensional topology, prépublication ETH/TH/89-9, Zürich, 1989. | MR
and -[6] Braid matrices and structure constants for minimal conformal models, Comm. Math. Phys. 124 (1989), p. 647-664. | MR | Zbl
, and -[7] Braid statistics in three-dimensional local quantum theory, in the Proceedings of the Banff Summer School in Theoretical physics (août 1989) on "Physics, Geometry and Topology", à paraître. | MR | Zbl
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and -[7] Le groupe fondamental de la droite projective moins trois points, in "Galois groups over Q", M.S.R.I. Publ. vol. 16, Springer, 1989. | MR | Zbl
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