Bulk-deformed potentials for toric Fano surfaces, wall-crossing and period
Symplectic Geometry
2019-02-28 v2
Abstract
We provide an inductive algorithm to compute the bulk-deformed potentials for toric Fano surfaces via wall-crossing techniques and a tropical-holomorphic correspondence theorem for holomorphic discs. As an application of the correspondence theorem, we also prove a big quantum period theorem for toric Fano surfaces which relates the log descendant Gromov-Witten invariants with the oscillatory integrals of the bulk-deformed potentials.
Keywords
Cite
@article{arxiv.1812.08845,
title = {Bulk-deformed potentials for toric Fano surfaces, wall-crossing and period},
author = {Hansol Hong and Yu-Shen Lin and Jingyu Zhao},
journal= {arXiv preprint arXiv:1812.08845},
year = {2019}
}
Comments
44 pages, 9 figures, comments are welcome