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

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.

preprint2022arXivOpen access
Ka Ho WongTian Yang
math-phmath.QAmath.GTmath.MP
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Ka Ho WongTian Yang

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