6j –symbols, hyperbolic structures and the volume
نویسندگان
چکیده
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 S S . We answer this question for the infinite family of fundamental shadow links.
منابع مشابه
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 the volumes of suitable hyperbolic objects. We propose an extension of S. Gukov’s generalized volume conjecture to cover the case of hyperbolic links in S or #k . We prove this conjecture for the infinite family of universal hyperbo...
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