JournalsqtVol. 16, No. 3pp. 419–491

On the volume conjecture for hyperbolic Dehn-filled 3-manifolds along the figure-eight knot

  • Ka Ho Wong

    Yale University, New Haven, USA
    ORCID

  • Tian Yang

    Texas A&M University, College Station, USA
On the volume conjecture for hyperbolic Dehn-filled 3-manifolds along the figure-eight knot cover
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Abstract

Using Ohtsuki’s method, we prove the asymptotic expansion conjecture and the volume conjecture of the Reshetikhin–Turaev and the Turaev–Viro invariants for all hyperbolic 3-manifolds obtained by doing a Dehn-surgery along the figure-8 knot.

Cite this article

Ka Ho Wong, Tian Yang, On the volume conjecture for hyperbolic Dehn-filled 3-manifolds along the figure-eight knot. Quantum Topol. 16 (2025), no. 3, pp. 419–491

DOI 10.4171/QT/240