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Matrix factorizations and representations of quivers II: Type ADE case |
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| Authors: | Hiroshige Kajiura Kyoji Saito |
| Institution: | a Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan b Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502, Japan |
| Abstract: | 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. |
| Keywords: | Matrix factorizations Triangulated category Representations of Dynkin quivers ADE singularities Landau-Ginzburg orbifolds Mirror symmetry |
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