期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 313, 期 3, 页码 607-633出版社
SPRINGER
DOI: 10.1007/s00220-012-1520-1
关键词
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资金
- NSF [DMS-0606578, DMS-0905923]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [905923] Funding Source: National Science Foundation
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 D-branes (i.e., quiver representations) on a resolution given in terms of Grassmannians. As an example we analyze some non-toric singularities which are resolved by a single but have length greater than one. These examples have a much richer structure than conifolds. A picture is proposed that relates matrix factorizations in Landau-Ginzburg theories to the way that matrix factorizations are used in this paper to perform noncommutative resolutions.
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