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Modularity of open-closed GW invariants of $K_{\mathbb{P}^2/\mu_3}$

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arxiv 1811.10743 v1 pith:NMMPMG63 submitted 2018-11-26 math-ph math.AGmath.MP

classification math-phmath.AGmath.MP
keywords invariantsformsgromov-wittenmathbbopen-closedquasi-meromorphicarticlecite
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abstract

Continuing our work in \cite{1805.04894}, this article is devoted to proving that open-closed Gromov-Witten invariants of $K_{\mathbb{P}^2/\mu_3}$ are quasi-meromorphic modular forms, and generating functions of open Gromov-Witten invariants are quasi-meromorphic Jacobi forms.

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