The nonequivariant coherent-constructible correspondence for toric stacks
Symplectic Geometry
2020-12-16 v4 Algebraic Geometry
Abstract
The nonequivariant coherent-costructible correspondence is a microlocal-geometric interpretation of homological mirror symmetry for toric varieties conjectured by Fang-Liu-Treumann-Zaslow. We prove a generalization of this conjecture for a class of toric stacks which includes any toric varieties and toric orbifolds. Our proof is based on gluing descriptions of -categories of both sides.
Cite
@article{arxiv.1610.03214,
title = {The nonequivariant coherent-constructible correspondence for toric stacks},
author = {Tatsuki Kuwagaki},
journal= {arXiv preprint arXiv:1610.03214},
year = {2020}
}
Comments
v4: minor revision; 50 pages, some mistakes corrected