SYZ mirror symmetry for hypertoric varieties
Lau, Siu-Cheong; Zheng, Xiao
We construct a Lagrangian torus fibration on a smooth hypertoric variety and a corresponding SYZ mirror variety using T-duality and generating functions of open Gromov–Witten invariants. The variety is singular in general. We construct a resolution of the variety using the wall and chamber structure on the base of the SYZ fibration.
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