Exact Lefschetz fibrations associated with dimer models
Symplectic Geometry
2009-12-30 v2 Algebraic Geometry
Abstract
We associate an exact Lefschetz fibration with a pair of a consistent dimer model and an internal perfect matching on it, whose Fukaya category is derived-equivalent to the category of representations of the directed quiver with relations associated with the pair. As a corollary, we obtain a version of homological mirror symmetry for two-dimensional toric Fano stacks.
Keywords
Cite
@article{arxiv.0912.1656,
title = {Exact Lefschetz fibrations associated with dimer models},
author = {Masahiro Futaki and Kazushi Ueda},
journal= {arXiv preprint arXiv:0912.1656},
year = {2009}
}
Comments
15 pages, no figures