Modularity of Open Gromov-Witten Potentials of Elliptic Orbifolds

Abstract

We study the modularity of the genus zero open Gromov-Witten potentials and its generating matrix factorizations for elliptic orbifolds. These objects constructed by Lagrangian Floer theory are a priori well-defined only around the large volume limit. It follows from modularity that they can be analytically continued over the global Kähler moduli space.

version 3 (journal version): discussion on the pillowcase orbifold added

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