@article{CM_1996__102_1_41_0, author = {Le, Tu Quoc Thang and Murakami, Jun}, title = {The universal {Vassiliev-Kontsevich} invariant for framed oriented links}, journal = {Compositio Mathematica}, pages = {41--64}, publisher = {Kluwer Academic Publishers}, volume = {102}, number = {1}, year = {1996}, mrnumber = {1394520}, zbl = {0851.57007}, language = {en}, url = {http://www.numdam.org/item/CM_1996__102_1_41_0/} }
TY - JOUR AU - Le, Tu Quoc Thang AU - Murakami, Jun TI - The universal Vassiliev-Kontsevich invariant for framed oriented links JO - Compositio Mathematica PY - 1996 SP - 41 EP - 64 VL - 102 IS - 1 PB - Kluwer Academic Publishers UR - http://www.numdam.org/item/CM_1996__102_1_41_0/ LA - en ID - CM_1996__102_1_41_0 ER -
Le, Tu Quoc Thang; Murakami, Jun. The universal Vassiliev-Kontsevich invariant for framed oriented links. Compositio Mathematica, Tome 102 (1996) no. 1, pp. 41-64. http://www.numdam.org/item/CM_1996__102_1_41_0/
[Al-Co] Quasi-quantum groups, knots, three-manifolds, and topological field theory Commun. Math. Phys. 150 (1992) pp. 83-107. | MR | Zbl
and :[Ar] Talk at ECM, Paris 1990.
:[Baez] Link invariants of finite type and perturbation theory, Wellesley college preprint, 1992. | MR | Zbl
:[Bar1] On the Vassiliev knot invariants, Harvard University preprint, August 1992. | MR | Zbl
:[Bar2] Vassiliev invariants of homotopy string links, Harvard University preprint, 1993. | Zbl
:[Bir] New points of view in knot theory Bull. Amer. Math. Soc. 28 (1993) No 2, 253-287. 225-270. | MR | Zbl
:[Bir2] Braids, links, and mapping class groups, Princeton University Press, 1974. | MR | Zbl
:[Bir-Lin] Knot polynomials and Vassiliev's invariants, Invent. Math. 111 (1993) pp. 225-270. | EuDML | MR | Zbl
and :[Car] Construction combinatoire des invariants de Vassiliev-Kontsevich des nœuds, C. R. Acad. Sci. Paris, t. 316 (1993) series 1, pp. 1205-1210F. | EuDML | Zbl
:[Drin1] On Quasi-Hopf algebras Leningrad Math. J. 1 (1990) 1419-1457. | MR | Zbl
:[Drin2] On quasi-triangular quasi-Hopf algebras and a group closely connected with Gal(Q/Q) Leningrad Math. J. 2 (1990) 829-860. | MR | Zbl
:[Drin3] Quantum groups, Proceeding of the ICM, Berkerley, 1986, 798-820. | MR | Zbl
:[F-dV] de Vries, Linear Lie Groups, Academic Press, New York London Toronto Sydney San Francisco, 1969. | MR | Zbl
:[Jim] A q-difference analogue of U(g) and the Yang-Baxter equation. Lett. Math. Phys. 10 (1985) 63-69. | MR | Zbl
:[Kas] Quantum groups, to appear in the series Graduate Texts in Mathematics, Springer-Verlag, in 1994. | MR | Zbl
:[Kauff] Vassiliev invariants and the loop states in quantum gravity, University of Illinois at Chicago preprint 1993, to appear in Knots and quantum gravity, Oxford U. Press. | MR | Zbl
:[Koh] Monodromy representations of braid groups and Yang-Baxter equations, Ann. Inst. Fourier, 37 (1987) 139-160. | Numdam | MR | Zbl
:[Kont1] Vassiliev's knot invariants, Adv. Sov. Math., 16, part 2, (1993) 137-150. | MR | Zbl
:[Kont2] Talk at ECM, Paris 1990.
:[Le-Mu1] Kontsevich's integral for Homfly polynomial and relation between values of multiple zeta functions, Max-Planck Institut für Mathematik preprint MPI/93-26, Bonn 1993.
and :[Le-Mu2] Kontsevich's integral for Kauffman polynomial, Max-Planck Institut für Mathematik preprint , Bonn 1993.
and :[Le-Mu3] Representation of the Category of Tangles by Kontsevich's iterated integral, Max-Planck Institut für Mathematik preprint, Bonn 1993.
and :[Lin] Vertex models, quantum groups and Vassiliev's knot invariants, Columbia University, preprint 1992.
:[Piu1] Combinatorial expression for universal Vassiliev link invariant, Harvard University preprint, 1993. | MR | Zbl
:[Piu2] Weights of Feynman diagrams, link polynomials and Vassilev knot invariants, Moscow State University preprint, 1992.
:[Re-Tu] Ribbon graphs and their invariants derived from quantum groups, Comm. Math. Phys., 127 (1990) pp. 262-288. | MR | Zbl
and :[So] Feynman diagrams and Vassiliev invariants, IHES preprint IHES/M/92/13,1992.
:[St] Finite type invariants of knots, links, and graphs, Columbia University preprint, 1992. | MR
:[Tu1] Operator invariants of tangles and R-matrices, Math. USSR Izvestija 35 (1990) pp. 411-444. | MR | Zbl
:[Tu2] The Yang-Baxter equations and invariants of links, Invent. Math. 92 (1988) pp. 527-553. | MR | Zbl
:[Va] Cohomology of knot spaces, Theory of singularities and its applications (Providence (Arnold, V. I. ed.), Amer. Math. Soc., Providence, 1990. | MR
:[Za] Values of multiple zeta functions and applications, MPI für Mathematik, preprint, Bonn 1993, to appear in Proceeding of ECM. | MR
: