English

Poincare invariants are Seiberg-Witten invariants

Algebraic Geometry 2012-05-07 v1

Abstract

We prove a conjecture of Durr, Kabanov and Okonek which provides an algebro-geometric theory of Seiberg-Witten invariants for all smooth projective surfaces. Our main technique is the cosection localization principle of virtual cycles.

Keywords

Cite

@article{arxiv.1205.0848,
  title  = {Poincare invariants are Seiberg-Witten invariants},
  author = {Huai-liang Chang and Young-Hoon Kiem},
  journal= {arXiv preprint arXiv:1205.0848},
  year   = {2012}
}