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On the Volume Conjecture for hyperbolic Dehn-filled $3$-manifolds along the figure-eight knot

Published 23 Mar 2020 in math.GT, math-ph, math.MP, and math.QA | (2003.10053v3)

Abstract: Using Ohtsuki's method, we prove the Asymptotic Expansion Conjecture and the Volume Conjecture of the Reshetikhin-Turaev and the Turev-Viro invariants for all hyperbolic $3$-manifolds obtained by doing a Dehn-surgery along the figure-$8$ knot.

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