Cyclotomic expansions for double twist knots with an odd number of half-twists

Qingtao Chen; Kefeng Liu; Shengmao Zhu

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arXiv · 2308.16749

Cyclotomic expansions for double twist knots with an odd number of half-twists

Qingtao Chen·Kefeng Liu·Shengmao Zhu

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Abstract

In this note, we compute the cyclotomic expansion formula for colored Jones polynomial of double twist knots with an odd number of half-twists $\mathcal{K}_{p,\frac{s}{2}}$ by using the Kauffman bracket skein theory. It answers a question proposed by Lovejoy and Osburn in 2019.

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BibTeX RIS

Qingtao Chen, Kefeng Liu, Shengmao Zhu. 2023-08-31. Cyclotomic expansions for double twist knots with an odd number of half-twists. https://arxiv.org/abs/2308.16749

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