Stability conditions on triangulated categories
| dc.creator | Bridgeland, Tom | |
| dc.date | 2002-12-17 | |
| dc.date | 2006-02-08 | |
| dc.date.accessioned | 2026-07-07T06:35:33Z | |
| dc.date.available | 2026-07-07T06:35:33Z | |
| dc.description | This paper introduces the notion of a stability condition on a triangulated category. The motivation comes from the study of Dirichlet branes in string theory, and especially from M.R. Douglas's notion of $Π$-stability. From a mathematical point of view, the most interesting feature of the definition is that the set of stability conditions $\Stab(\T)$ on a fixed category $\T$ has a natural topology, thus defining a new invariant of triangulated categories. After setting up the necessary definitions I prove a deformation result which shows that the space $\Stab(\T)$ with its natural topology is a manifold, possibly infinite-dimensional. | |
| dc.description | A minor change in terminology (centered slope function becomes stability function). The result on stability conditions on curves of positive genus is removed since E. Macri found a much better proof in math/0411613. A false statement pointed out by S. Okada has also been removed. To appear in Annals of Maths | |
| dc.identifier | https://arxiv.org/abs/math/0212237 | |
| dc.identifier | http://arxiv.org/abs/math/0212237 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99827 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Category Theory | |
| dc.title | Stability conditions on triangulated categories | |
| dc.type | text |