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arXiv · 1804.05506

SYZ mirror symmetry for hypertoric varieties

Siu-Cheong Lau·Xiao Zheng
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Abstract

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 using the wall and chamber structure of the SYZ base.

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Siu-Cheong Lau, Xiao Zheng. 2018-04-16. SYZ mirror symmetry for hypertoric varieties. https://doi.org/10.1007/s00220-019-03535-z

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