@article{ASENS_1991_4_24_6_635_0,
author = {Turaev, Vladimir G.},
title = {Skein quantization of Poisson algebras of loops on surfaces},
journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
volume = {24},
year = {1991},
pages = {635-704},
doi = {10.24033/asens.1639},
mrnumber = {94a:57023},
zbl = {0758.57011},
language = {en},
url = {http://dml.mathdoc.fr/item/ASENS_1991_4_24_6_635_0}
}
Turaev, Vladimir G. Skein quantization of Poisson algebras of loops on surfaces. Annales scientifiques de l'École Normale Supérieure, Tome 24 (1991) pp. 635-704. doi : 10.24033/asens.1639. http://gdmltest.u-ga.fr/item/ASENS_1991_4_24_6_635_0/
[1] , Hamiltonian Structures on Lie Groups, Lie Bialgebras and the Meaning of the classical Yang-Baxter Equation (Doklady A.N. S.S.S.R., Vol. 268, 1982, pp. 285-287 ; English translation : Soviet Math. Dokl., Vol. 27, No. 1, 1983). | MR 84i:58044 | Zbl 0526.58017
[2] , Quantum Groups (Proc. Internat. Congress Math., Berkeley, 1986, Amer. Math. Soc., Providence, R.I., 1987, pp. 798-820). | MR 89f:17017 | Zbl 0667.16003
[3] , The Symplectic Nature of Fundamental Groups of Surfaces (Adv. Math., Vol. 54, 1984, pp. 200-225). | MR 86i:32042 | Zbl 0574.32032
[4] , Invariant Functions on Lie Groups and Hamiltonian Flows of Surface Group Representations (Invent. Math., Vol. 85, 1986, pp. 263-302). | MR 87j:32069 | Zbl 0619.58021
[5] and , Dichromatic Link Invariants, (Trans. Amer. Math. Soc., Vol. 321, 1990, pp. 197-229). | MR 90m:57007 | Zbl 0702.57002
[6] , Composition Products and Models for the Homfly Polynomial, preprint, Grenoble, 1988.
[7] , New Invariants in the Theory of Knots (Am. Math. Mon., Vol. 95, 1988, pp. 195-242). | MR 89d:57005 | Zbl 0657.57001
[8] , Rational Conformal Field Theory and Invariants of 3-Manifolds, preprint, 1989.
[9] , Polynomials for Links (Bull. London Math. Soc., Vol. 20, 1988, pp. 558-588). | MR 90d:57004 | Zbl 0685.57001
[10] and , A Polynomial Invariant of Oriented Links (Topology, Vol. 26, 1987, pp. 107-141). | MR 88b:57012 | Zbl 0608.57009
[11] , Skein Modules of 3-manifolds, preprint, 1987.
[12] , Quantized Universal Enveloping Algebras, the Yang-Baxter Equation and Invariants of Links, I and II, L.O.M.I. preprints E-4-87 and E-17-87, Leningrad, 1988.
[13] and , Invariants of 3-manifolds via Link Polynomials and Quantum Groups, (Invent. Math., Vol. 103, 1991, pp. 547-597). | MR 92b:57024 | Zbl 0725.57007
[14] , Dressing Transformations and Poisson Group Actions (Publ. Res. Inst. Math. Sci. Kyoto Univ., Vol. 21, 1985, pp. 1237-1260). | MR 88b:58057 | Zbl 0674.58038
[15] , Lie Algebras and Lie Groups, Benjamin, New York-Amsterdam, 1965. | MR 36 #1582 | Zbl 0132.27803
[16] , Intersections of Loops in Two-Dimensional Manifolds (Matem. Sbornik, Vol. 106, 1978, pp. 566-588 ; English translation : Math. U.S.S.R. Sbornik, Vol. 35, 1979, pp. 229-250). | MR 80d:57019 | Zbl 0422.57005
[17] , Multivariable Generalizations of the Seifert form of Classical Knot (Matem. Sbornik, Vol. 116, 1981, pp. 370-397 ; English translation : Math. U.S.S.R. Sbornik, (Vol. 44, 1983, pp. 335-361). | Zbl 0508.57005
[18] , The Yang-Baxter Equation and Invariants of Links (Invent. Math., Vol. 92, 1988, pp. 527-553). | MR 89e:57003 | Zbl 0648.57003
[19] , The Conway and Kauffman Modules of the Solid Torus (Zap. nauchn. sem. L.O.M.I., Vol. 167, 1988, pp. 79-89 ; English translation : J. Soviet. Math.). | MR 90f:57012 | Zbl 0673.57004
[20] , Algebras of Loops on Surfaces, Algebras of Knots and Quantization, preprint L.O.M.I., Leningrad, 1988.
[21] , Groupes quantiques (d'après V. G. Drinfel'd) (Astérisque, Vol. 152-153, 1987, pp. 305-319). | Numdam | MR 89f:17021 | Zbl 0645.16006
[22] , Quantum Field Theory and the Jones Polynomial, (Comm. Math. Phys., Vol. 121, 1989, pp. 351-399). | MR 90h:57009 | Zbl 0667.57005
[23] , On the Symplectic Geometry of Deformations of Hyperbolic Surface (Ann. Math., Vol. 117, 1983, pp. 207-234). | MR 85e:32028 | Zbl 0518.30040