On explicit formulae of LMOV invariants

Abstract

We started a program to study the open string integrality invariants (LMOV invariants) for toric Calabi-Yau 3-folds with Aganagic-Vafa brane (AV-brane) several years ago. This paper is devoted to the case of resolved conifold with one out AV-brane in any integer framing $\tau$, which is the large $N$ duality of Chern-Simons theory for a framed unknot with integer framing $\tau$ in $S^3$. By using the methods from string dualities, we compute several explicit formulae of the corresponding LMOV invariants for this special model, whose integrality properties have been proved in a separated paper.

This article contains the first part of our previous preprint arXiv:1611.06506

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Cited by in corpus (1)

• Multi-cover skeins, quivers, and 3d $\mathcal{N}=2$ dualities