Homological Mirror Symmetry for local SYZ singularities
Symplectic Geometry
2021-07-13 v1 Algebraic Geometry
Abstract
Gross and Siebert identified a class of singular Lagrangian torus fibrations which arise when smoothing toroidal degenerations, and which come in pairs that are related by mirror symmetry. We identify an immersed Lagrangian in each of these local models which supports a moduli space of objects that is isomorphic to the mirror space, and prove a homological mirror statement along the way.
Keywords
Cite
@article{arxiv.2107.05068,
title = {Homological Mirror Symmetry for local SYZ singularities},
author = {Mohammed Abouzaid and Zachary Sylvan},
journal= {arXiv preprint arXiv:2107.05068},
year = {2021}
}
Comments
39 pages, 13 figures