Integrality of the LMOV invariants for framed unknot
Geometric Topology
2021-06-08 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The Labastida-Marin\~o-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. Several explicit formulae of LMOV invariants for framed unknot have been obtained in the literature. In this paper, we present a unified method to deal with the integrality of such explicit formulae. Furthermore, we also prove the integrality of certain LMOV invariants for framed unknot in higher genera.
Cite
@article{arxiv.2106.02882,
title = {Integrality of the LMOV invariants for framed unknot},
author = {Wei Luo and Shengmao Zhu},
journal= {arXiv preprint arXiv:2106.02882},
year = {2021}
}
Comments
This is the published version for Section 4 of our article arXiv:1611.06506