6j-symbols, hyperbolic structures and the Volume Conjecture
Abstract
We compute the asymptotical growth rate of a large family of Uq(sl2) 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 S2× S1. We answer this question for the infinite family of fundamental shadow links.
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