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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

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. 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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