Dimer models and exceptional collections
arXiv:0911.4529
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.
18 pages, no figures. v2: added Remark 7.4 and Section 8