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    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
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    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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    • BU Open Access Articles [3730]


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