Volume 5, issue 3 (2005)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 21, 1 issue

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Editorial Interests
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Author Index
To Appear
 
Other MSP Journals
The Kontsevich integral and quantized Lie superalgebras

Nathan Geer

Algebraic & Geometric Topology 5 (2005) 1111–1139
Bibliography
1 D Bar-Natan, On the Vassiliev knot invariants, Topology 34 (1995) 423 MR1318886
2 D De Wit, J R Links, L H Kauffman, On the Links–Gould invariant of links, J. Knot Theory Ramifications 8 (1999) 165 MR1687549
3 P Etingof, D Kazhdan, Quantization of Lie bialgebras I, Selecta Math. $($N.S.$)$ 2 (1996) 1 MR1403351
4 J M Figueroa-O’Farrill, T Kimura, A Vaintrob, The universal Vassiliev invariant for the Lie superalgebra $\mathrm{gl}(1|1)$, Comm. Math. Phys. 185 (1997) 93 MR1463035
5 N Geer, Etingof–Kazhdan quantization of Lie superbialgebras, Adv. Math. 207 (2006) 1 MR2264064
6 N Geer, Link invariants, quantized superalgebras and the Kontsevich integral (2004)
7 A Ishii, The Links–Gould polynomial as a generalization of the Alexander–Conway polynomial, Pacific J. Math. 225 (2006) 273 MR2233736
8 A Ishii, T Kanenobu, A relation between the LG polynomial and the Kauffman polynomial, Topology Appl. 154 (2007) 1407 MR2310474
9 V G Kac, Lie superalgebras, Advances in Math. 26 (1977) 8 MR0486011
10 C Kassel, Quantum groups, Graduate Texts in Mathematics 155, Springer (1995) MR1321145
11 C Kassel, M Rosso, V Turaev, Quantum groups and knot invariants, Panoramas et Synthèses 5, Société Mathématique de France (1997) MR1470954
12 M Kontsevich, Vassiliev's knot invariants, from: "I. M. Gel'fand Seminar", Adv. Soviet Math. 16, Amer. Math. Soc. (1993) 137 MR1237836
13 T Q T Le, J Murakami, The universal Vassiliev–Kontsevich invariant for framed oriented links, Compositio Math. 102 (1996) 41 MR1394520
14 X S Lin, Vertex models, quantum groups and Vassiliev's knot invariants, preprint, Columbia University, New York (1991)
15 J R Links, M D Gould, Two variable link polynomials from quantum supergroups, Lett. Math. Phys. 26 (1992) 187 MR1199742
16 T Ohtsuki, Quantum invariants, Series on Knots and Everything 29, World Scientific Publishing Co. (2002) MR1881401
17 B Patureau-Mirand, Quantum link invariant from the Lie superalgebra $\mathfrak{D}_{2 1,\alpha}$, Algebr. Geom. Topol. 6 (2006) 329 MR2220680
18 N Y Reshetikhin, V G Turaev, Ribbon graphs and their invariants derived from quantum groups, Comm. Math. Phys. 127 (1990) 1 MR1036112
19 V Turaev, private communication (2005)
20 A Vaintrob, private communication (2004)
21 A Vaintrob, Vassiliev knot invariants and Lie $S$–algebras, Math. Res. Lett. 1 (1994) 579 MR1295552
22 V A Vassiliev, Cohomology of knot spaces, from: "Theory of singularities and its applications", Adv. Soviet Math. 1, Amer. Math. Soc. (1990) 23 MR1089670
23 P Vogel, Algebraic structures on modules of diagrams, preprint (1997)
24 H Yamane, Quantized enveloping algebras associated with simple Lie superalgebras and their universal $R$–matrices, Publ. Res. Inst. Math. Sci. 30 (1994) 15 MR1266383