Relative Reshetikhin-Turaev invariants, hyperbolic cone metrics and discrete Fourier transforms II

Abstract

We prove the Volume Conjecture for the relative Reshetikhin-Turaev invariants proposed in [29] for all pairs (M,K) such that M\K is homeomorphic to the complement of the figure-8 knot in S^3 with almost all possible cone angles.

34 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:2003.10053, arXiv:2008.05045

References in corpus (3)

• On the Volume Conjecture for hyperbolic Dehn-filled $3$-manifolds along the figure-eight knot
• Fundamental shadow links realized as links in $S^3$
• Discrete Fourier transforms, quantum $6j$-symbols and deeply truncated tetrahedra

Cited by in corpus (4)

• Discrete Fourier transforms, quantum $6j$-symbols and deeply truncated tetrahedra
• A relative version of the Turaev-Viro invariants and the volume of hyperbolic polyhedral 3-manifolds
• Computation of leading coefficients in asymptotics of relative quantum invariants
• On the asymptotic expansion for the relative Reshetikhin-Turaev invariants of fundamental shadow link pairs