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math.RA2017★ 4 cited
Dimer algebras, ghor algebras, and cyclic contractions
Charlie Beil
A ghor algebra is the path algebra of a dimer quiver on a surface, modulo relations that come from the perfect matchings of its quiver. Such algebras arise from abelian quiver gaug…
math.RA2017
Cyclic contractions of dimer algebras always exist
Charlie Beil
We show that every nondegenerate dimer algebra on a torus admits a cyclic contraction to a cancellative dimer algebra. This implies, for example, that is Calabi-Yau if and…