Traces dans les catégories monoïdales, dualité et catégories monoïdales fibrées
Cahiers de Topologie et Géométrie Différentielle Catégoriques (1995)
- Volume: 36, Issue: 3, page 195-288
- ISSN: 1245-530X
Access Full Article
topHow to cite
topMaltsiniotis, G.. "Traces dans les catégories monoïdales, dualité et catégories monoïdales fibrées." Cahiers de Topologie et Géométrie Différentielle Catégoriques 36.3 (1995): 195-288. <http://eudml.org/doc/91565>.
@article{Maltsiniotis1995,
author = {Maltsiniotis, G.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Jones polynomials; quantum groups; sovereign category; tensor category; tensor product; trace; isotopy invariants of links; monoidal categories; sovereign structures},
language = {fre},
number = {3},
pages = {195-288},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Traces dans les catégories monoïdales, dualité et catégories monoïdales fibrées},
url = {http://eudml.org/doc/91565},
volume = {36},
year = {1995},
}
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
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 36
IS - 3
SP - 195
EP - 288
LA - fre
KW - Jones polynomials; quantum groups; sovereign category; tensor category; tensor product; trace; isotopy invariants of links; monoidal categories; sovereign structures
UR - http://eudml.org/doc/91565
ER -
References
top- [BHMV1] C. Blanchet, N. Habegger, G. Masbaum, P. Vogel, Three-manifold invariants derived from the Kauffman bracket, Topology31 (1992), 685-699. Zbl0771.57004MR1191373
- [BHMV2] C. Blanchet, N. Habegger, G. Masbaum, P. Vogel, Topological quantum field theories derived from the Kauffman bracket, Preprint, Université de Nantes 93/02 (1993). Zbl0887.57009MR1362791
- [Br] A. Bruguières, Théorie tannakienne non commutative, Comm. in Alg.22 (14) (1994), 5817-5860. Zbl0808.18005MR1298753
- [De1] P. Deligne, 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. Zbl0727.14010MR1106898
- [De2] P. Deligne, lettre à D. N. Yetter, (1990).
- [Dr] V.G. Drinfel'd, Quantum groups, in "Proceedings of the International Congress of Mathematicians", 1986, Berkeley, American Mathematical Society, 1987, pp. 798-820. Zbl0667.16003MR934283
- [FY1] P.J. Freyd, D.N. Yetter, Braided compact closed categories with applications to low dimensional topology, Adv. Math.77 (1989), 156-182. Zbl0679.57003MR1020583
- [FY2] P. Freyd, D.N. Yetter, Coherence theorems via knot theory, J. of Pure and Appl. Alg.78 (1992), 49-76. Zbl0747.18010MR1154897
- [Gi1] J. Giraud, Méthode de la descente, Bull. Soc. Math. France, Memoire2 (1964). Zbl0211.32902MR190142
- [Gi2] J. Giraud, "Cohomologie non abélienne", Springer-Verlag, 1971. Zbl0226.14011MR344253
- [SGA1] A. Grothendieck, "Revêtements étales et groupe fondamental", Séminaire de Géométrie Algébrique du Bois Marie1960/ 61, Lecture Notes in Mathematics224, Springer-Verlag, 1971. Zbl0234.14002MR354651
- [Ji1] M. Jimbo, A q-difference analogue of U(g) and the Yang-Baxter equation, Lett. Math. Phys.10 (1985), 63-69. Zbl0587.17004MR797001
- [Ji2] M. Jimbo, A q-analogue of U(gl(N + 1)), Hecke algebras and the Yang-Baxter equation, Lett. Math. Phys.11 (1986), 247-252. Zbl0602.17005MR841713
- [Jo] V.F.R. Jones, A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc.12, 1 (1985), 103-111. Zbl0564.57006MR766964
- [JS1] A. Joyal, R. Street, Braided tensor categories, Adv. Math.102 (1993), 20-78. Zbl0817.18007MR1250465
- [JS2] A. Joyal, R. Street, The geometry of tensor calculus, I, Adv. Math.88 (1991), 55-112. Zbl0738.18005MR1113284
- [Ka] C. Kassel, "Quantum Groups", Graduate Texts in Mathematics, vol. 155, Springer-Verlag, 1995. Zbl0808.17003MR1321145
- [KT] C. Kassel, V. Turaev, Double construction for monoidal categories, Preprint, Publ. IRMA Strasbourg 507/P-294 (1992). Zbl0833.18005MR1353016
- [Lyu] V. Lyubashenko, Ribbon categories as modular categories, Preprint (1993).
- [RT1] N. Yu. Reshetikhin, V.G. Turaev, Ribbon graphs and their invariants derived from quantum groups, Commun. Math. Phys.127 (1990), 1-26. Zbl0768.57003MR1036112
- [RT2] N. Yu. Reshetikhin, V.G. Turaev, Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math.103 (1991), 547-597. Zbl0725.57007MR1091619
- [Sh] M.C. Shum, Tortile tensor categories, J. of Pure and Appl. Alg.93, 1 (1994), 57-110. Zbl0803.18004MR1268782
- [T1] V.G. Turaev, The Yang-Baxter equation and invariants of links, Invent. Math.92 (1988), 527-553. Zbl0648.57003MR939474
- [T2] V.G. Turaev, Operator invariants of tangles, and R-matrices, Math. USSR Izvestiya35, 2 (1990), 411-444. Zbl0707.57003MR1024455
- [T3] V. Turaev, Quantum invariants of 3-manifolds, Preprint, Publ. IRMA Strasbourg 509/P-295 (1992). MR1186845
- [T4] V. Turaev, Quantum invariants of 3-manifolds II, Preprint, Publ. IRMA Strasbourg 015 (1993). MR1249172
- [T5] V. Turaev, Quantum invariants of links and 3-valent graphs in 3-manifolds, Publ. Math. IHES77 (1993), 121-171. Zbl0822.57012MR1249172
- [T6] V.G. Turaev, "Quantum Invariants of Knots and 3-Manifolds ", de Gruyter Studies in Mathematics18, Walter de Gruyter, 1994. Zbl0812.57003MR1292673
- [TV] V.G. Turaev, O.Y. Viro, State sum invariants of 3-manifolds and quantum 6j-symbols, Topology31 (1992), 865-902. Zbl0779.57009MR1191386
- [Wo] S.L. Woronowicz, Compact matrix pseudogroups, Commun. Math. Phys.111 (1987), 613-665. Zbl0627.58034MR901157
- [Ye] D.N. Yetter, 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 Mathematics134, American Mathematical Society, 1992, pp. 325-345. Zbl0812.18005MR1187296
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.