Math @ Duke

Publications [#243302] of Paul S. Aspinwall
Papers Published
 Aspinwall, PS; Morrison, DR, Quivers from Matrix Factorizations,
Communications in Mathematical Physics, vol. 313 no. 3
(2012),
pp. 607633, ISSN 00103616 [arXiv:1005.1042], [doi]
(last updated on 2017/12/15)
Abstract: We discuss how matrix factorizations offer a practical method of computing the quiver and associated superpotential for a hypersurface singularity. This method also yields explicit geometrical interpretations of Dbranes (i. e., quiver representations) on a resolution given in terms of Grassmannians. As an example we analyze some nontoric singularities which are resolved by a single ℙ 1 but have "length" greater than one. These examples have a much richer structure than conifolds. A picture is proposed that relates matrix factorizations in LandauGinzburg theories to the way that matrix factorizations are used in this paper to perform noncommutative resolutions. © 2012 SpringerVerlag.


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