In this paper we describe the Seiberg-Witten invariants, which have been introduced by Witten, for manifolds with b_+=1. In this case the invariants depend on a chamber structure, and there exists a universal wall crossing formula. For every Kähler surface with p_g=0 and q=0, these invariants are non-trivial for all Spin^c(4)-structures of non-negative index.
@article{hal-00881771,
author = {Teleman, Andrei and Okonek, Christian},
title = {Seiberg-Witten invariants for manifolds with b\_+=1, and the universal wall crossing formula},
journal = {HAL},
volume = {1996},
number = {0},
year = {1996},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00881771}
}
Teleman, Andrei; Okonek, Christian. Seiberg-Witten invariants for manifolds with b_+=1, and the universal wall crossing formula. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-00881771/