Lau, SiuKim, YoosikZheng, Xiao2020-04-102020-04-102019-09-13Siu Lau, Yoosik Kim, Xiao Zheng. 2019. "T-equivariant disc potential and SYZ mirror construction."https://hdl.handle.net/2144/40108We 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.en-USMathematicsSymplectic geometryArticle506325