SYZ mirror symmetry for hypertoric varieties
Symplectic Geometry
2019-09-04 v2 Algebraic Geometry
Abstract
We construct a Lagrangian torus fibration on a smooth hypertoric variety and a corresponding SYZ mirror variety using -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.
Keywords
Cite
@article{arxiv.1804.05506,
title = {SYZ mirror symmetry for hypertoric varieties},
author = {Siu-Cheong Lau and Xiao Zheng},
journal= {arXiv preprint arXiv:1804.05506},
year = {2019}
}
Comments
v_2: 31 pages, 5 figures, minor revision. To appear in Communications in Mathematical Physics