Derived category of coherent sheaves and counting invariants
arXiv:1404.3814
Abstract
We survey recent developments on Donaldson-Thomas theory, Bridgeland stability conditions and wall-crossing formula. We emphasize the importance of the counting theory of Bridgeland semistable objects in the derived category of coherent sheaves to find a hidden property of the generating series of Donaldson-Thomas invariants.
Contribution to the ICM 2014 proceedings