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

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

Detcherry–Kalfagianni–Yang colored-Jones volume question.

lim⁡N→∞2πN+12log⁡∣JN⃗(L,e2πiN+12)∣=Vol⁡(S3∖L).\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.

References

Primary source

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

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