Seiberg-Witten invariants for manifolds with $b_+=1$

Details Seiberg-Witten invariants for manifolds with $b_+=1$ Seiberg-Witten invariants for manifolds with $b_+=1$

1996-03-29

arxiv.org/abs/alg-geom/9603025v2

Physics

High Energy Physics

High Energy Physics - Theory

TeX-Type: LaTeX, 6 pages

Scientific paper

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. We take into account the contribution of the 1-homology of the base-manifold. For every K\"ahler surface with $p_g=0$ and $q$=0, these invariants are non-trivial for all $Spin^c(4)$-structures of non-negative index.

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