Exact Lefschetz fibrations associated with dimer models

Details Exact Lefschetz fibrations associated with dimer models Exact Lefschetz fibrations associated with dimer models

2009-12-09

arxiv.org/abs/0912.1656v2

Mathematics

Symplectic Geometry

15 pages, no figures

Scientific paper

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.

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