T-equivariant disc potential and SYZ mirror construction
Files
First author draft
Date
2019-09-13
DOI
Authors
Lau, Siu
Kim, Yoosik
Zheng, Xiao
Version
First author draft
OA Version
Citation
Siu Lau, Yoosik Kim, Xiao Zheng. 2019. "T-equivariant disc potential and SYZ mirror construction."
Abstract
We develop a G-equivariant Lagrangian Floer theory by counting pearly trees
in the Borel construction LG. We apply the construction to smooth moment-map fibers
of toric semi-Fano manifolds and obtain the T-equivariant Landau-Ginzburg mirrors. We
also apply this to the typical S^1-invariant SYZ singular fiber, which is the single-pinched
torus, and compute its S^1-equivariant disc potential.