Integrality of the LMOV invariants for framed unknot

Wei Luo; Shengmao Zhu

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arXiv · 2106.02882

Integrality of the LMOV invariants for framed unknot

Wei Luo·Shengmao Zhu

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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.

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BibTeX RIS

Wei Luo, Shengmao Zhu. 2021-06-05. Integrality of the LMOV invariants for framed unknot. https://arxiv.org/abs/2106.02882

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