English

Derived category of coherent sheaves and counting invariants

Algebraic Geometry 2014-05-21 v2

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.

Keywords

Cite

@article{arxiv.1404.3814,
  title  = {Derived category of coherent sheaves and counting invariants},
  author = {Yukinobu Toda},
  journal= {arXiv preprint arXiv:1404.3814},
  year   = {2014}
}

Comments

Contribution to the ICM 2014 proceedings