Open Gromov-Witten Invariants on Elliptic K3 Surfaces and Wall-Crossing
Symplectic Geometry
2016-08-08 v2 Algebraic Geometry
Abstract
In this paper, we study holomorphic discs in K3 surfaces and defined the open Gromov-Witten invariants. Using this new invariant, we can establish a version of correspondence between tropical discs and holomorphic discs with non-trivial invariants. We give an example of wall-crossing phenomenon of the invariant and expect it satisfies Kontsevich-Soibelman wall-crossing formula.
Keywords
Cite
@article{arxiv.1412.4455,
title = {Open Gromov-Witten Invariants on Elliptic K3 Surfaces and Wall-Crossing},
author = {Yu-Shen Lin},
journal= {arXiv preprint arXiv:1412.4455},
year = {2016}
}
Comments
75 pages, 4 figures, accepted by Comm. Math. Phys