THE CO-STABILITY MANIFOLD OF A TRIANGULATED CATEGORY
Abstrak
AbstractStability conditions on triangulated categories were introduced by Bridgeland as a ‘continuous’ generalisation of t-structures. The set of locally-finite stability conditions on a triangulated category is a manifold that has been studied intensively. However, there are mainstream triangulated categories whose stability manifold is the empty set. One example is Dc(k[X]/(X2)), the compact derived category of the dual numbers over an algebraically closed field k. This is one of the motivations in this paper for introducing co-stability conditions as a ‘continuous’ generalisation of co-t-structures. Our main result is that the set of nice co-stability conditions on a triangulated category is a manifold. In particular, we show that the co-stability manifold of Dc(k[X]/(X2)) is ℂ.
Penulis (2)
PETER JØRGENSEN
DAVID PAUKSZTELLO
Akses Cepat
- Tahun Terbit
- 2012
- Bahasa
- en
- Total Sitasi
- 4×
- Sumber Database
- CrossRef
- DOI
- 10.1017/s0017089512000420
- Akses
- Open Access ✓