@article{CTGDC_1995__36_3_195_0, author = {Maltsiniotis, G.}, title = {Traces dans les cat\'egories mono{\"\i}dales, dualit\'e et cat\'egories mono{\"\i}dales fibr\'ees}, journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques}, pages = {195--288}, publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS}, volume = {36}, number = {3}, year = {1995}, mrnumber = {1352535}, zbl = {0831.18002}, language = {fr}, url = {http://www.numdam.org/item/CTGDC_1995__36_3_195_0/} }
TY - JOUR AU - Maltsiniotis, G. TI - Traces dans les catégories monoïdales, dualité et catégories monoïdales fibrées JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques PY - 1995 SP - 195 EP - 288 VL - 36 IS - 3 PB - Dunod éditeur, publié avec le concours du CNRS UR - http://www.numdam.org/item/CTGDC_1995__36_3_195_0/ LA - fr ID - CTGDC_1995__36_3_195_0 ER -
%0 Journal Article %A Maltsiniotis, G. %T Traces dans les catégories monoïdales, dualité et catégories monoïdales fibrées %J Cahiers de Topologie et Géométrie Différentielle Catégoriques %D 1995 %P 195-288 %V 36 %N 3 %I Dunod éditeur, publié avec le concours du CNRS %U http://www.numdam.org/item/CTGDC_1995__36_3_195_0/ %G fr %F CTGDC_1995__36_3_195_0
Maltsiniotis, G. Traces dans les catégories monoïdales, dualité et catégories monoïdales fibrées. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 36 (1995) no. 3, pp. 195-288. http://www.numdam.org/item/CTGDC_1995__36_3_195_0/
[BHMV1] Three-manifold invariants derived from the Kauffman bracket, Topology 31 (1992), 685-699. | MR | Zbl
, , , ,[BHMV2] Topological quantum field theories derived from the Kauffman bracket, Preprint, Université de Nantes 93/02 (1993). | MR | Zbl
, , , ,[Br] Théorie tannakienne non commutative, Comm. in Alg. 22 (14) (1994), 5817-5860. | MR | Zbl
,[De1] Catégories tannakiennes, in "The Grothendieck Festschrift", Vol. II. In honor of the 60th birthday of Alexander Grothendieck, Progress in Mathematics 87, Birkhäuser, 1990, pp. 111-195. | MR | Zbl
,[De2] lettre à D. N. Yetter, (1990).
,[Dr] Quantum groups, in "Proceedings of the International Congress of Mathematicians", 1986, Berkeley, American Mathematical Society, 1987, pp. 798-820. | MR | Zbl
,[FY1] Braided compact closed categories with applications to low dimensional topology, Adv. Math. 77 (1989), 156-182. | MR | Zbl
, ,[FY2] Coherence theorems via knot theory, J. of Pure and Appl. Alg. 78 (1992), 49-76. | MR | Zbl
, ,[Gi1] Méthode de la descente, Bull. Soc. Math. France, Memoire 2 (1964). | Numdam | MR | Zbl
,[Gi2] Cohomologie non abélienne", Springer-Verlag, 1971. | MR | Zbl
, "[SGA1] Revêtements étales et groupe fondamental", Séminaire de Géométrie Algébrique du Bois Marie 1960/ 61, Lecture Notes in Mathematics 224, Springer-Verlag, 1971. | MR | Zbl
, "[Ji1] A q-difference analogue of U(g) and the Yang-Baxter equation, Lett. Math. Phys. 10 (1985), 63-69. | MR | Zbl
,[Ji2] A q-analogue of U(gl(N + 1)), Hecke algebras and the Yang-Baxter equation, Lett. Math. Phys. 11 (1986), 247-252. | MR | Zbl
,[Jo] A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc. 12, 1 (1985), 103-111. | MR | Zbl
,[JS1] Braided tensor categories, Adv. Math. 102 (1993), 20-78. | MR | Zbl
, ,[JS2] The geometry of tensor calculus, I, Adv. Math. 88 (1991), 55-112. | MR | Zbl
, ,[Ka] Quantum Groups", Graduate Texts in Mathematics, vol. 155, Springer-Verlag, 1995. | MR | Zbl
, "[KT] Double construction for monoidal categories, Preprint, Publ. IRMA Strasbourg 507/P-294 (1992). | MR | Zbl
, ,[Lyu] Ribbon categories as modular categories, Preprint (1993).
,[RT1] Ribbon graphs and their invariants derived from quantum groups, Commun. Math. Phys. 127 (1990), 1-26. | MR | Zbl
, ,[RT2] Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math. 103 (1991), 547-597. | MR | Zbl
, ,[Sh] Tortile tensor categories, J. of Pure and Appl. Alg. 93, 1 (1994), 57-110. | MR | Zbl
,[T1] The Yang-Baxter equation and invariants of links, Invent. Math. 92 (1988), 527-553. | MR | Zbl
,[T2] Operator invariants of tangles, and R-matrices, Math. USSR Izvestiya 35, 2 (1990), 411-444. | MR | Zbl
,[T3] Quantum invariants of 3-manifolds, Preprint, Publ. IRMA Strasbourg 509/P-295 (1992). | MR
,[T4] Quantum invariants of 3-manifolds II, Preprint, Publ. IRMA Strasbourg 015 (1993). | MR
,[T5] Quantum invariants of links and 3-valent graphs in 3-manifolds, Publ. Math. IHES 77 (1993), 121-171. | Numdam | MR | Zbl
,[T6] Quantum Invariants of Knots and 3-Manifolds ", de Gruyter Studies in Mathematics 18, Walter de Gruyter, 1994. | MR | Zbl
, "[TV] State sum invariants of 3-manifolds and quantum 6j-symbols, Topology 31 (1992), 865-902. | MR | Zbl
, ,[Wo] Compact matrix pseudogroups, Commun. Math. Phys. 111 (1987), 613-665. | MR | Zbl
,[Ye] Framed tangles and a theorem of Deligne on braided deformations of Tannakian categories, in "Deformation theory and quantum groups with applications to mathematical physics", Contemporary Mathematics 134, American Mathematical Society, 1992, pp. 325-345. | MR | Zbl
,