Matrix Factorizations and Representations of Quivers II: type ADE case
arXiv:math/0511155
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.
v2: typos corrected, added an appendix by K.Ueda
References in corpus (5)
- Triangulated categories of singularities and D-branes in Landau-Ginzburg models
- Derived Categories of Coherent Sheaves and Triangulated Categories of Singularities
- F-term equations near Gepner points
- D-branes in Topological Minimal Models: the Landau-Ginzburg Approach
- K. Saito's Duality for Regular Weight Systems and Duality for Orbifoldized Poincare Polynomials