13 citations · 49 across the 17 of their papers we have counts for
17 papers
On the asymptotic expansions of various quantum invariants II: the colored Jones polynomial of twist knots at the root of unity and
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…
Bismut-Stroock Hessian formulas and local Hessian estimates for heat semigroups and harmonic functions on Riemannian manifolds
Qin-Qian Chen, Li-Juan Cheng, Anton Thalmaier
In this article, we develop a martingale approach to localized Bismut-type Hessian formulas for heat semigroups on Riemannian manifolds. Our approach extends the Hessian formulas e…
Cyclotomic expansions for the colored HOMFLY-PT invariants of double twist knots
Qingtao Chen, Kefeng Liu, Shengmao Zhu
In this short note, we prove the cyclotomic expansion formula for the colored HOMFLY-PT invariant of double twist knots, it confirms the cyclotomic expansion conjecture for …
Asymptotics of quantum symbols
Qingtao Chen, Jun Murakami
Asymptotics of quantum symbols corresponding to a hyperbolic tetrahedra is investigated and the first two leading terms are determined for the case that the tetrahedron has a…
Cyclotomic expansion and volume conjecture for superpolynomials of colored HOMFLY-PT homology and colored Kauffman homology
Qingtao Chen
We first study superpolynomial associated to triply-graded reduced colored HOMFLY-PT homology. We propose conjectures of congruent relations and cyclotomic expansion for it. We pro…
Volume conjecture for -invariants
Qingtao Chen, Kefeng Liu, Shengmao Zhu
This paper discuss an intrinsic relation among congruent relations \cite{CLPZ}, cyclotomic expansion and Volume Conjecture for invariants. Motivated by the congruent relati…