Crepant resolutions and brane tilings I: Toric realization
Algebraic Geometry
2009-08-26 v2 Representation Theory
Abstract
Given a brane tiling, that is, a bipartite graph on a torus, we can associate with it a singular 3-Calabi-Yau variety. In this paper we study its commutative and non-commutative crepant resolutions. We give an explicit toric description of all its commutative crepant resolutions. We also explain how the McKay correspondence in dimension 3 can be interpreted using brane tilings.
Keywords
Cite
@article{arxiv.0908.3475,
title = {Crepant resolutions and brane tilings I: Toric realization},
author = {Sergey Mozgovoy},
journal= {arXiv preprint arXiv:0908.3475},
year = {2009}
}
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22 pages