Algebraic & Geometric Topology Volume 6, issue 1 (2006)

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ISSN (electronic): 1472-2739

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Quantum link invariant from the Lie superalgebra ${\mathfrak D}_{2 1,\alpha}$

Bertrand Patureau-Mirand

Algebraic & Geometric Topology 6 (2006) 329–349

DOI: 10.2140/agt.2006.6.329

Bibliography

1	D Bar-Natan, S Garoufalidis, L Rozansky, D P Thurston, Wheels, wheeling, and the Kontsevich integral of the unknot, Israel J. Math. 119 (2000) 217 MR1802655
2	A B Berger, I Stassen, The skein relation for the $(\mathfrak{g}_2,V)$-link invariant, Comment. Math. Helv. 75 (2000) 134 MR1760499
3	T Deguchi, Multivariable invariants of colored links generalizing the Alexander polynomial, from: "Proceedings of the Conference on Quantum Topology (Manhattan, KS, 1993)", World Sci. Publishing (1994) 67 MR1309927
4	V G Drinfel’d, Quasi-Hopf algebras, Algebra i Analiz 1 (1989) 114 MR1047964
5	N Geer, Etingof-Kazhdan quantization of Lie superbialgebras, Advances in Mathematics, to appear arXiv:math.QA/0409563
6	N Geer, The Kontsevich integral and quantized Lie superalgebras, Algebr. Geom. Topol. 5 (2005) 1111 MR2171805
7	V G Kac, Lie superalgebras, Advances in Math. 26 (1977) 8 MR0486011
8	R M Kashaev, A link invariant from quantum dilogarithm, Modern Phys. Lett. A 10 (1995) 1409 MR1341338
9	T T Q Le, J Murakami, Parallel version of the universal Vassiliev-Kontsevich invariant, J. Pure Appl. Algebra 121 (1997) 271 MR1477611
10	J Murakami, A state model for the multivariable Alexander polynomial, Pacific J. Math. 157 (1993) 109 MR1197048
11	J Murakami, T Ohtsuki, Topological quantum field theory for the universal quantum invariant, Comm. Math. Phys. 188 (1997) 501 MR1473309
12	B Patureau-Mirand, Caractères sur l'algèbre de diagrammes trivalents $\Lambda$, Geom. Topol. 6 (2002) 563 MR1941724
13	T Stanford, Finite-type invariants of knots, links, and graphs, Topology 35 (1996) 1027 MR1404922
14	H Thys, $R$-matrice universelle pour $U_h(D(2,1,x))$ et invariant d'entrelacs associé, Bull. Soc. Math. France 130 (2002) 309 MR1924544
15	P Vogel, Algebraic structures on modules of diagrams, Invent. Math. to appear, preprint (1995)
16	Y M Zou, Finite-dimensional representations of $\Gamma(\sigma_1,\sigma_2,\sigma_3)$, J. Algebra 169 (1994) 827 MR1302119
17	Y M Zou, Deformation of the universal enveloping algebra of $\Gamma(\sigma_1,\sigma_2,\sigma_3)$, Canad. Math. Bull. 39 (1996) 499 MR1426695