Modularity of open-closed GW invariants of $K_{{\mathbb{P}}^2/{\mu }_3}$

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.