Stability data and t-structures on a triangulated category
Algebraic Geometry
2007-05-23 v1 Category Theory
Abstract
We propose the notion of stability on a triangulated category that is a generalization of the T.Bridgeland's stability data. We establish connections between stabilities and t-structures on a category and as application we get the classification of bounded t-structures on the bounded derived category of coherent sheaves on a line.
Cite
@article{arxiv.math/0312442,
title = {Stability data and t-structures on a triangulated category},
author = {A. Gorodentscev and S. Kuleshov and A. Rudakov},
journal= {arXiv preprint arXiv:math/0312442},
year = {2007}
}
Comments
30 pp, uses diagrams.sty by P.Taylor