Noncommutative resolutions of ADE fibered Calabi-Yau threefolds

Details Noncommutative resolutions of ADE fibered Calabi-Yau threefolds Noncommutative resolutions of ADE fibered Calabi-Yau threefolds

2008-06-19

arxiv.org/abs/0806.3177v3

Commun. Math. Phys., 297(3): 597-619, 2010

Mathematics

Algebraic Geometry

20 pages; v3: published version -all preliminary material has been removed; Subsect. 3.1 has been rewritten and expanded and i

Scientific paper

10.1007/s00220-010-1052-5

In this paper we construct noncommutative resolutions of a certain class of Calabi-Yau threefolds studied by F. Cachazo, S. Katz and C. Vafa. The threefolds under consideration are fibered over a complex plane with the fibers being deformed Kleinian singularities. The construction is in terms of a noncommutative algebra introduced by V. Ginzburg, which we call the "N=1 ADE quiver algebra".

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