English

Disk counting and wall-crossing phenomenon via family Floer theory

Symplectic Geometry 2022-11-15 v4

Abstract

We use the wall-crossing formula in the non-archimedean SYZ mirror construction (arXiv: 2003.06106) to compute the Landau-Ginzburg superpotential and the one-pointed open Gromov-Witten invariants for a Chekanov-type Lagrangian torus in any smooth toric Fano compactification of C^n. It agrees with the works of Auroux, Chekanov-Schlenk, and Pascaleff-Tonkonog.

Keywords

Cite

@article{arxiv.2101.01379,
  title  = {Disk counting and wall-crossing phenomenon via family Floer theory},
  author = {Hang Yuan},
  journal= {arXiv preprint arXiv:2101.01379},
  year   = {2022}
}

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