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

preprint2022arXivOpen access

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

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On the Volume Conjecture for hyperbolic Dehn-filled 333-manifolds along the figure-eight knot

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