@article{PMIHES_1993__77__121_0,
author = {Turaev, Vladimir G.},
title = {Quantum invariants of links and 3-valent graphs in 3-manifolds},
journal = {Publications Math\'ematiques de l'IH\'ES},
volume = {78},
year = {1993},
pages = {121-171},
mrnumber = {94j:57012},
zbl = {0822.57012},
language = {en},
url = {http://dml.mathdoc.fr/item/PMIHES_1993__77__121_0}
}
Turaev, Vladimir. Quantum invariants of links and 3-valent graphs in 3-manifolds. Publications Mathématiques de l'IHÉS, Tome 78 (1993) pp. 121-171. http://gdmltest.u-ga.fr/item/PMIHES_1993__77__121_0/
[A1] , The combinatorial theory of complexes, Ann. Math. (2), 31 (1930), 294-332. | JFM 56.0497.02
[AW] , , A set of orthogonal polynomials that generalize the Racah coefficients or 6 - j symbols, SIAM J. Math. Anal., 10, No. 5 (1979), 1008-1016. | MR 80k:33012 | Zbl 0437.33014
[At] , Topological quantum field theories, Publ. Math. IHES, 68 (1989), 175-186. | Numdam | MR 90e:57059 | Zbl 0692.53053
[BL] , , Angular momentum in quantum physics. Theory and application. Encyclopedia of Math. and its applications, v. 8, London, Reading, Amsterdam, Addison-Wesley Publ. Company (1981). | MR 83a:81001 | Zbl 0474.00023
[J] , Polynomial invariants of knots via von Neumann algebras, Bull. Amer. Math. Soc., 12 (1985), 103-111. | MR 86e:57006 | Zbl 0564.57006
[K] , State models and the Jones polynomial, Topology, 26 (1987), 395-407. | MR 88f:57006 | Zbl 0622.57004
[KR1] , , Representations of the algebra Uq(sl2), q-orthogonal polynomials and invariants of links, in V. G. KAC (ed.), Infinite dimensional Lie algebras and groups (Adv. Ser. In Math. Phys., vol. 7), World Scientific, Singapore (1988), 285-339. | MR 90m:17022 | Zbl 0742.17018
[M] , Transformations of special spines and the Zeeman conjecture, Math. USSR Izvestia, 31 (1988), 423-434. | MR 89d:57014 | Zbl 0676.57002
[P] , Standard moves for standard polyhedra and spines, Rend. Circ. Mat. Palermo, 37, suppl. 18 (1988), 391-414. | MR 89k:57003 | Zbl 0672.57004
[Re] , Knotentheorie, Ergebn. Math. Grenzgeb. 1 (1932), Berlin, Springer Verlag ; English translation : Knot theory, Moscow, Idaho, USA BSC Associates, (1983). | JFM 58.1202.04 | Zbl 0005.12001
[RT1] , , Ribbon graphs and their invariants derived from quantum groups, Commun. Math. Phys., 127 (1990), 1-26. | MR 91c:57016 | Zbl 0768.57003
[RT2] , , Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math., 103 (1991), 547-598. | MR 92b:57024 | Zbl 0725.57007
[RS] , , Introduction to Piecewise-Linear Topology, Ergebn. Math. Grenzgeb., 69 (1972), Berlin, Heidelberg, New York, Springer-Verlag. | MR 50 #3236 | Zbl 0254.57010
[T1] , The Yang-Baxter equations and invariants of links, Invent. Math., 92 (1988), 527-553. | MR 89e:57003 | Zbl 0648.57003
[T2] , Shadow links and IRF-models of statistical mechanics, J. Diff. Geom., 36 (1992), 35-74. | MR 93e:57015 | Zbl 0773.57012
[T3] , Quantum invariants of 3-manifolds and a glimpse of shadow topology, C. R. Acad. Sci. Paris, 313, serie I (1991), 395-398. | MR 92h:57030 | Zbl 0752.57009
[T4] , Topology of shadows, preprint (1991).
[T5] , Introduction to modular categories and new invariants of 3-manifolds (in preparation).
[TV] and , State sum invariants of 3-manifolds and quantum 6j-symbols, Topology, 31 (1992), 865-902. | MR 94d:57044 | Zbl 0779.57009
[Wa] , On Witten's 3-manifolds invariant, preprint (1991).
[W1] , Quantum field theory and Jones polynomial, Comm. Math. Phys., 121 (1989), 351-399. | MR 90h:57009 | Zbl 0667.57005
[W2] , Gauge theories, vertex models and quantum groups, Nuclear Physics B, 330 (1990), 285-346. | MR 92b:82051