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Asymptotics of quantum $6j$ symbols
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abstract
Asymptotics of quantum $6j$ symbols corresponding to a hyperbolic tetrahedra is investigated and the first two leading terms are determined for the case that the tetrahedron has a ideal or ultra-ideal vertex. These terms are given by the volume and the determinant of the Gram matrix of the tetrahedron. A relation to the volume conjecture of the Turaev-Viro invariant is also discussed.
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Cited by 1 Pith paper
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On the asymptotic expansion of quantum invariants related to surgeries of Whitehead link I: Relative Reshetikhin-Turaev invariants and the Turaev-Viro invariants at $e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}{2}}}$
For rational surgeries on one component of the Whitehead link, the paper proves asymptotic expansions of the relative Reshetikhin-Turaev invariants and, under a large surgery coefficient condition, of the Turaev-Viro ...
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