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arXiv · 1412.4455

Open Gromov-Witten Invariants on Elliptic K3 Surfaces and Wall-Crossing

Yu-Shen Lin
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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.

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Yu-Shen Lin. 2014-12-15. Open Gromov-Witten Invariants on Elliptic K3 Surfaces and Wall-Crossing. https://arxiv.org/abs/1412.4455

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