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

1996/03/04 by Christian Okonek, Okonek, Christian, Andrei Teleman +1
Mathematics · #Advanced Operator Algebra Research #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.alg-geom/9603003

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. 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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