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Semi-steady non-commutative crepant resolutions via regular dimer models

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 نشر من قبل Yusuke Nakajima
 تاريخ النشر 2016
  مجال البحث
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 تأليف Yusuke Nakajima




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A consistent dimer model gives a non-commutative crepant resolution (= NCCR) of a $3$-dimensional Gorenstein toric singularity. In particular, it is known that a consistent dimer model gives a nice class of NCCRs called steady if and only if it is homotopy equivalent to a regular hexagonal dimer model. Inspired by this result, we introduce the notion of semi-steady NCCRs, and show a consistent dimer model gives a semi-steady NCCR if and only if it is homotopy equivalent to a regular dimer model.



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