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arXiv · 0911.4529

Dimer models and exceptional collections

Akira Ishii·Kazushi Ueda
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Abstract

We construct a full strong exceptional collection consisting of line bundles on any two-dimensional smooth toric weak Fano stack. The total endomorphism algebra of the resulting collection is isomorphic to the path algebra of a quiver with relations associated with a dimer model and a perfect matching on it.

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Akira Ishii, Kazushi Ueda. 2009-11-24. Dimer models and exceptional collections. https://arxiv.org/abs/0911.4529

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