Mathematical Research Letters
Volume 17 (2010)
Exact Lefschetz fibrations associated with dimer models
Pages: 1029 – 1040
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.