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 Turaev–Viro invariants for all hyperbolic 3-manifolds obtained by doing a Dehn-surgery along the figure-8 knot.

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Publication Details

Journal
Quantum Topology
Published
2025-06-13
DOI
https://doi.org/10.4171/qt/240
Citations
1
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
4.09
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article

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

Tian Yang, K. H. Yau Wong
1 citations
Quantum Topology
Geometric and Algebraic Topology
4.09
article

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

Tian Yang, K. H. Yau Wong
article en
1 citations

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.

Quantum TopologyVol. 16(3)
Yale University (US), Texas A&M University (US)
Openalex Percentile: Top 9%
Geometric and Algebraic Topology
4.09
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On the volume conjecture for hyperbolic Dehn-filled 3-manifolds along the figure-eight knot — Tian Yang, K. H. Yau Wong · Quantum Topology (2025) | TGRS Research Map | TGRS