Algebraic & Geometric Topology Volume 11, issue 3 (2011)

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ISSN (electronic): 1472-2739

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Polynomial $6j$–symbols and states sums

Nathan Geer and Bertrand Patureau-Mirand

Algebraic & Geometric Topology 11 (2011) 1821–1860

DOI: 10.2140/agt.2011.11.1821

Bibliography

1	S Baseilhac, R Benedetti, Quantum hyperbolic invariants of $3$–manifolds with $\mathrm{PSL}(2,\mathbb C)$–characters, Topology 43 (2004) 1373 MR2081430
2	F Costantino, J Murakami, On $\mathrm{SL}(2,\C)$ quantum $6j$–symbols and its relation to the hyperbolic volume. arXiv:1005.4277
3	N Geer, B Patureau-Mirand, V Turaev, Modified $6j$–symbols and $3$–manifold invariants arXiv:0910.1624
4	N Geer, B Patureau-Mirand, V Turaev, Modified quantum dimensions and re-normalized link invariants, Compos. Math. 145 (2009) 196 MR2480500
5	C Kassel, Quantum groups, Graduate Texts in Math. 155, Springer (1995) MR1321145
6	A N Kirillov, N Y Reshetikhin, Representations of the algebra ${U}_q(\mathrm{sl}(2)),\;q$–orthogonal polynomials and invariants of links, from: "Infinite-dimensional Lie algebras and groups (Luminy-Marseille, 1988)" (editor V G Kac), Adv. Ser. Math. Phys. 7, World Sci. Publ. (1989) 285 MR1026957
7	G Masbaum, P Vogel, $3$–valent graphs and the Kauffman bracket, Pacific J. Math. 164 (1994) 361 MR1272656
8	T Ohtsuki, Quantum invariants. A study of knots, $3$–manifolds, and their sets, Series on Knots and Everything 29, World Sci. Pub. (2002) MR1881401
9	V G Turaev, Quantum invariants of knots and $3$–manifolds, de Gruyter Studies in Math. 18, de Gruyter (1994) MR1292673
10	V G Turaev, O Y Viro, State sum invariants of $3$–manifolds and quantum $6j$–symbols, Topology 31 (1992) 865 MR1191386
11	O Y Viro, Quantum relatives of the Alexander polynomial, Algebra i Analiz 18 (2006) 63 MR2255851