Detcherry–Kalfagianni–Yang colored-Jones volume question for hyperbolic links

Let LL be a hyperbolic link in S3\mathbb S^3, and let N=(N,,N)\vec N=(N,\dots,N) be the color vector. The question asks whether

Detcherry–Kalfagianni–Yang colored-Jones volume question.

limN2πN+12logJN(L,e2πiN+12)=Vol(S3L).\lim_{N\to\infty}\frac{2\pi}{N+\frac12}\log\left|J_{\vec N}\left(L,e^{\frac{2\pi i}{N+\frac12}}\right)\right|=\operatorname{Vol}(\mathbb S^3\setminus L).

This is explicitly posed as a question in the source and concerns the colored Jones polynomial at the shifted root of unity. The source does not state whether it has been resolved.

Sources & referencesView supporting material

Primary source

Ka Ho Wong, “Asymptotics of some quantum invariants of the Whitehead chains”, arXiv:1912.10638 (2020).

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