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

Okonek, C; Teleman, A (1996). Seiberg-Witten invariants for manifolds with b+=1 and the universal wall crossing formula. International Journal of Mathematics, 7(6):811-832.

## 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.

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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## Additional indexing

Item Type: Journal Article, refereed, original work 07 Faculty of Science > Institute of Mathematics 510 Mathematics English 1996 29 Nov 2010 16:28 05 Apr 2016 13:27 World Scientific Publishing 0129-167X Electronic version of an article published as [Internat. J. Math. 7 (1996), no. 6, 811–832] http://dx.doi.org/10.1142/S0129167X96000438 © 1996 copyright World Scientific Publishing Company http://www.worldscinet.com/ijm/ijm.shtml https://doi.org/10.1142/S0129167X96000438 http://www.ams.org/mathscinet-getitem?mr=1417787http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0959.57029
Permanent URL: https://doi.org/10.5167/uzh-22553

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