SYZ mirror symmetry for hypertoric varieties

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Date Issued
2020-02
Publisher Version
10.1007/s00220-019-03535-z
Author(s)
Lau, Siu-Cheong
Zheng, Xiao
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Permanent Link
https://hdl.handle.net/2144/42035
Version
Accepted manuscript
Citation (published version)
Siu-Cheong Lau, Xiao Zheng. 2020. "SYZ Mirror Symmetry for Hypertoric Varieties." Communications in Mathematical Physics, Volume 373, Issue 3, pp. 1133 - 1166. https://doi.org/10.1007/s00220-019-03535-z
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 of the variety using the wall and chamber structure on the base of the SYZ fibration.
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