Matrix Factorizations and Representations of Quivers II: type ADE case
Algebraic Geometry
2007-05-23 v2 High Energy Physics - Theory
Representation Theory
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.
Cite
@article{arxiv.math/0511155,
title = {Matrix Factorizations and Representations of Quivers II: type ADE case},
author = {Hiroshige Kajiura and Kyoji Saito and Atsushi Takahashi},
journal= {arXiv preprint arXiv:math/0511155},
year = {2007}
}
Comments
v2: typos corrected, added an appendix by K.Ueda