Matrix Factorizations and Representations of Quivers II: type ADE case

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We study a triangulated category of graded matrix factorizations for a polynomial of type ADE. We show that it is equivalent to the derived category of finitely generated modules over the path algebra of the corresponding Dynkin quiver. Also, we discuss a special stability condition for the triangulated category in the sense of T. Bridgeland, which is naturally defined by the grading.
v2: typos corrected, added an appendix by K.Ueda

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Algebraic Geometry, High Energy Physics - Theory, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/104800

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511155
 http://arxiv.org/abs/math/0511155

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arXiv