Qingtao Chen

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3 citations · 5 across the 2 of their papers we have counts for

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math.GT2023

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

Qingtao Chen, Kefeng Liu, Shengmao Zhu

In this note, we compute the cyclotomic expansion formula for colored Jones polynomial of double twist knots with an odd number of half-twists $K_{p, \frac{s}{2}}$ by usin…

math.GT2023

On the asymptotic expansions of various quantum invariants II: the colored Jones polynomial of twist knots at the root of unity $e^{\frac{2 π - 1}{N + \frac{1}{M}}}$ and $e^{\frac{2 π - 1}{N}}$

Qingtao Chen, Shengmao Zhu

This is the second article in a series devoted to the study of the asymptotic expansions of various quantum invariants related to the twist knots. In this article, following the me…

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

On the asymptotic expansions of various quantum invariants II: the colored Jones polynomial of twist knots at the root of unity eN+M1​2π−1​​ and eN2π−1​​

On the asymptotic expansions of various quantum invariants II: the colored Jones polynomial of twist knots at the root of unity $e^{\frac{2 π - 1}{N + \frac{1}{M}}}$ and $e^{\frac{2 π - 1}{N}}$