English

Seiberg-Witten invariants for manifolds with $b_+=1$, and the universal wall crossing formula

alg-geom 2008-02-03 v4 dg-ga High Energy Physics - Theory Algebraic Geometry Differential Geometry

Abstract

In this paper we describe the Seiberg-Witten invariants, which have been introduced by Witten, for manifolds with b+=1b_+=1. In this case the invariants depend on a chamber structure, and there exists a universal wall crossing formula. For every K\"ahler surface with pg=0p_g=0 and qq=0, these invariants are non-trivial for all Spinc(4)Spin^c(4)-structures of non-negative index.

Keywords

Cite

@article{arxiv.alg-geom/9603003,
  title  = {Seiberg-Witten invariants for manifolds with $b_+=1$, and the universal wall crossing formula},
  author = {Christian Okonek and Andrei Teleman},
  journal= {arXiv preprint arXiv:alg-geom/9603003},
  year   = {2008}
}

Comments

LaTeX, 27 pages. To appear in Int. J. Math