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CONSISTENCY CONDITIONS FOR DIMER MODELS

Published online by Cambridge University Press:  29 March 2012

RAF BOCKLANDT
RAF BOCKLANDT*
Affiliation:
School of Mathematics and Statistics, Herschel Building, Newcastle University, Newcastle upon Tyne, NE1 7RU, UK e-mail: raf.bocklandt@gmail.com
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Abstract

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Dimer models are a combinatorial tool to describe certain algebras that appear as noncommutative crepant resolutions of toric Gorenstein singularities. Unfortunately, not every dimer model gives rise to a noncommutative crepant resolution. Several notions of consistency have been introduced to deal with this problem. In this paper, we study the major different notions in detail and show that for dimer models on a torus, they are all equivalent.

Keywords

14M2514A2216S38
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 54 , Issue 2 , May 2012 , pp. 429 - 447
Copyright
Copyright © Glasgow Mathematical Journal Trust 2012

References

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