Matrix Factorizations and Representations of Quivers I
| dc.creator | Takahashi, Atsushi | |
| dc.date | 2005-06-17 | |
| dc.date | 2005-09-21 | |
| dc.date.accessioned | 2026-07-07T06:18:30Z | |
| dc.date.available | 2026-07-07T06:18:30Z | |
| dc.description | 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. | |
| dc.description | 20 pages, added references | |
| dc.identifier | https://arxiv.org/abs/math/0506347 | |
| dc.identifier | http://arxiv.org/abs/math/0506347 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94754 | |
| dc.subject | Algebraic Geometry | |
| dc.title | Matrix Factorizations and Representations of Quivers I | |
| dc.type | text |