SYZ mirror symmetry for hypertoric varieties

Published 16 Apr 2018 in math.SG and math.AG | (1804.05506v2)

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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