SYZ mirror symmetry for hypertoric varieties

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.

v_2: 31 pages, 5 figures, minor revision. To appear in Communications in Mathematical Physics

References in corpus (2)

• Quantizations of multiplicative hypertoric varieties at a root of unity
• Semi-global invariants of piecewise smooth Lagrangian fibrations

Cited by in corpus (1)

• Homological Mirror Symmetry for Hypertoric Varieties I