nLab
Bridgeland stability condition

Idea

Bridgeland stability conditions on a triangulated category are certain data which give a derived analogue of the Mumford’s stability.

Related concepts

• wall crossing of BPS states

References

General

• Tom Bridgeland, Stability conditions on triangulated categories, Ann. of Math. 166 (2007) 317–345,math.AG/0212237;

• Tom Bridgeland, Spaces of stability conditions, Proc. of symposia in pure math. 80, 2009, math/0611510.

• bourwiki: Bridgeland stability conditions

• R. Pandharipande, R.P. Thomas, Stable pairs and BPS invariants, arXiv:0711.3899

• Maxim Kontsevich, Yan Soibelman, Stability structures, motivic Donaldson-Thomas invariants and cluster transformations, arXiv:0811.2435

• Rina Anno, Roman Bezrukavnikov, Ivan Mirković, A thin stringy moduli space for Slodowy slices, arxiv/1108.1563

• Tom Bridgeland, Ivan Smith, Quadratic differentials as stability conditions, arxiv/1302.7030

Introductions and lectures

• Anton Geraschenko, notes from an introductory talk (pdf)

Relation to stable branes in string theory

• Aaron Bergman?, Stability Conditions and Branes at Singularities (arXiv:hep-th/0702092)