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

Christian Okonek·Andrei Teleman
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Abstract

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 Kähler 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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BibTeXRIS

Christian Okonek, Andrei Teleman. 1996-06-17. Seiberg-Witten invariants for manifolds with $b_+=1$. https://arxiv.org/abs/alg-geom/9603025

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