4 citations · 5 across the 7 of their papers we have counts for
11 papers
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 by usin…
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…
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 …
Integrality of the LMOV invariants for framed unknot
Wei Luo, Shengmao Zhu
The Labastida-Marinõ-Ooguri-Vafa (LMOV) invariants are the open string BPS invariants which are expected to be integers based on the string duality conjecture from M-theory. Severa…
New structures for colored HOMFLY-PT invariants
Shengmao Zhu
In this paper, we present several new structures for the colored HOMFLY-PT invariants of framed links. First, we prove the strong integrality property for the normalized colored HO…
Integrality structures in topological strings and quantum -functions
Shengmao Zhu
In this article, we first prove the integrality of open string BPS numbers for a class of toric Calabi-Yau manifolds named generalized conifolds, by applying the method introduced…