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math.GT2021★ 1 cited
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 …
math.GT2021★ 4 cited
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…
math.GT2021
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…