Modularity of Open Gromov-Witten Potentials of Elliptic Orbifolds
Differential Geometry
2016-05-26 v3 Number Theory
Symplectic Geometry
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 K\"ahler moduli space.
Keywords
Cite
@article{arxiv.1412.1499,
title = {Modularity of Open Gromov-Witten Potentials of Elliptic Orbifolds},
author = {Siu-Cheong Lau and Jie Zhou},
journal= {arXiv preprint arXiv:1412.1499},
year = {2016}
}
Comments
version 3 (journal version): discussion on the pillowcase orbifold added