T-equivariant disc potential and SYZ mirror construction
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Citation (published version)Siu Lau, Yoosik Kim, Xiao Zheng. 2019. "T-equivariant disc potential and SYZ mirror construction."
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.