Cyclic contractions of dimer algebras always exist

Charlie Beil

Cyclic contractions of dimer algebras always exist

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arxiv 1703.04450 v3 pith:UPDLUIRY submitted 2017-03-13 math.RA

Charlie Beil This is my paper · ORCID

classification math.RA

keywords dimeralgebracyclicadmitsalgebrasalwayscalabi-yaucancellative

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abstract

We show that every nondegenerate dimer algebra $A$ on a torus admits a cyclic contraction to a cancellative dimer algebra. This implies, for example, that $A$ is Calabi-Yau if and only if it is noetherian; and that the center of $A$ has Krull dimension $3$.

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