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• W1629277730 abstract "This paper introduces a mathematical definition of the category of D-branes in Landau-Ginzburg orbifolds in terms of $A_infty$-categories. Our categories coincide with the categories of (graded) matrix factorizations for quasi-homogeneous polynomials. After setting up the necessary definitions, we prove that our category for the polynomial $x^{n+1}$ is equivalent to the derived category of representations of the Dynkin quiver of type $A_{n}$. We also construct a special stability condition for the triangulated category in the sense of T. Bridgeland, which should be the origin of the space of stability conditions." @default.
• W1629277730 created "2016-06-24" @default.
• W1629277730 creator A5016878784 @default.
• W1629277730 date "2005-06-17" @default.
• W1629277730 modified "2023-09-27" @default.
• W1629277730 title "Matrix Factorizations and Representations of Quivers I" @default.
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