Geodesic
Semi-steady non-commutative crepant resolutions via regular dimer models
Nakajima, Yusuke1
1 Kavli Institute for the Physics and Mathematics of the Universe (WPI), UTIAS, The University of Tokyo, Kashiwa, Chiba 277-8583, Japan
Algebraic Combinatorics, Tome 2 (2019) no. 2, pp. 173-195

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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 class of NCCRs called steady if and only if it is homotopy equivalent to a regular hexagonal dimer model. Inspired by this result, we detect another nice property on NCCRs that characterizes square dimer models. We call such NCCRs semi-steady NCCRs, and study their properties.

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DOI : 10.5802/alco.39
Classification : 13C14, 05B45, 14E15, 16S38
Keywords: Non-commutative crepant resolutions, Dimer models, Regular tilings, Toric singularities

Nakajima, Yusuke 1

1 Kavli Institute for the Physics and Mathematics of the Universe (WPI), UTIAS, The University of Tokyo, Kashiwa, Chiba 277-8583, Japan
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Semi-steady non-commutative crepant resolutions via regular dimer models},
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     url = {http://geodesic.mathdoc.fr/articles/10.5802/alco.39/}
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Nakajima, Yusuke. Semi-steady non-commutative crepant resolutions via regular dimer models. Algebraic Combinatorics, Tome 2 (2019) no. 2, pp. 173-195. doi: 10.5802/alco.39

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