TY - JOUR
T1 - Disk counting and wall-crossing phenomenon via family Floer theory
AU - Yuan, Hang
N1 - Funding Information:
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.
Publisher Copyright:
© 2022, This is a U.S. Government work and not under copyright protection in the US; foreign copyright protection may apply.
PY - 2022/12
Y1 - 2022/12
N2 - 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.
AB - 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.
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U2 - 10.1007/s11784-022-00994-1
DO - 10.1007/s11784-022-00994-1
M3 - Article
AN - SCOPUS:85140834708
SN - 1661-7738
VL - 24
JO - Journal of Fixed Point Theory and Applications
JF - Journal of Fixed Point Theory and Applications
IS - 4
M1 - 77
ER -