Open Gromov-Witten Invariants on Elliptic K3 Surfaces and Wall-Crossing
arXiv:1412.4455
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.
75 pages, 4 figures, accepted by Comm. Math. Phys
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