SYZ mirror symmetry for hypertoric varieties

Siu-Cheong Lau Boston University Xiao Zheng Boston University

Symplectic Geometry mathscidoc:1905.34002

Communications in Mathematical Physics
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.
SYZ, hypertoric, hyperKaehler, wall-crossing, mirror symmetry
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  title={SYZ mirror symmetry for hypertoric varieties},
  author={Siu-Cheong Lau, and Xiao Zheng},
  booktitle={Communications in Mathematical Physics},
Siu-Cheong Lau, and Xiao Zheng. SYZ mirror symmetry for hypertoric varieties. In Communications in Mathematical Physics.
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