Communications in Number Theory and Physics
Volume 9 (2015)
Modularity of open Gromov–Witten potentials of elliptic orbifolds
Pages: 345 – 385
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.
2010 Mathematics Subject Classification
11Fxx, 14N10, 14N35