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6j–symbols, hyperbolic structures and the volume conjecture
2007
Geometry and Topology
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We compute the asymptotical growth rate of a large family of U_q(sl_2) 6j-symbols and we interpret our results in geometric terms by relating them to volumes of hyperbolic truncated tetrahedra. We address a question which is strictly related with S.Gukov's generalized volume conjecture and deals with the case of hyperbolic links in connected sums of S^2× S^1. We answer this question for the infinite family of fundamental shadow links.
doi:10.2140/gt.2007.11.1831
fatcat:4nk6w56exvh6pm3f3yxkgy34vu