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) |
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Article number | 77 |
Journal | Journal of Fixed Point Theory and Applications |
Volume | 24 |
Issue number | 4 |
DOIs | |
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