Disk counting and wall-crossing phenomenon via family Floer theory

Hang Yuan

doi:10.1007/s11784-022-00994-1

Disk counting and wall-crossing phenomenon via family Floer theory

Hang Yuan^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Article number	77
Journal	Journal of Fixed Point Theory and Applications
Volume	24
Issue number	4
DOIs	https://doi.org/10.1007/s11784-022-00994-1
State	Published - 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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10.1007/s11784-022-00994-1

Cite this

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Disk counting and wall-crossing phenomenon via family Floer theory

Abstract

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ASJC Scopus subject areas

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