3 papers
math.GT2025
On the asymptotic expansions of various quantum invariants I: the colored Jones polynomial of twist knots at the root of unity
Qingtao Chen, Shengmao Zhu
This is the first article in a series devoted to the study of the asymptotic expansions of various quantum invariants related to the twist knots. In this paper, by using the saddle…
math.GT2024
On the asymptotic expansion of quantum invariants related to surgeries of Whitehead link I: Relative Reshetikhin-Turaev invariants and the Turaev-Viro invariants at
Qingtao Chen, Shengmao Zhu
In this article, we obtain an asymptotic expansion formula for the relative Reshetikhin-Turaev invariant in the case that the ambient 3-manifold is gained by doing rational surgery…
math.GT2024
On the asymptotic expansion of various quantum invariants III: the Reshetikhin-Turaev invariants of closed hyperbolic 3-manifolds obtained by doing integral surgery along the twist knot
Qingtao Chen, Shengmao Zhu
This is the third article in a series devoted to the study of the asymptotic expansions of various quantum invariants related to the twist knots. In this paper, by using the saddle…