Disk counting and wall-crossing phenomenon via family Floer theory

Hang Yuan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We use the wall-crossing formula in the non-archimedean SYZ mirror construction 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 Cn. It agrees with the works of Auroux, Chekanov-Schlenk, and Pascaleff-Tonkonog.

Original languageEnglish (US)
Article number77
JournalJournal of Fixed Point Theory and Applications
Volume24
Issue number4
DOIs
StatePublished - Dec 2022

Funding

I am indebted to my advisor Kenji Fukaya for many enlightening discussions and conversations. I would like to thank Yuhan Sun for his knowledge of toric geometry and enlightening discussions. I would also like to thank Mohammed Abouzaid, Jiahao Hu, Dogancan Karabas, Wenyuan Li, Santai Qu, Renato Vianna, Junxiao Wang, Yi Wang, and Eric Zaslow for helpful conversations. I am grateful to Siu Cheong Lau and Yu-Shen Lin for the invitation to Boston University Geometry and Physics Seminar in Fall 2020. I am also grateful to Sara Tukachinsky for the invitation to Symplectic Zoominar in Spring 2021.

ASJC Scopus subject areas

  • Modeling and Simulation
  • Geometry and Topology
  • Applied Mathematics

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