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arXiv 2009-12-09 0 views

Exact Lefschetz fibrations associated with dimer models

Futaki, Masahiro · Ueda, Kazushi

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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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