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Seiberg-Witten invariants of 3-orbifolds and non-Kähler surfaces. (English) Zbl 1267.57029
Summary: A formula is given which computes the Seiberg-Witten invariant of a 3-orbifold from the invariant of the underlying manifold. As an application, we derive a formula for the Seiberg-Witten invariant of a non-Kähler complex surface, which was originally due to O. Biquard [Commun. Anal. Geom. 6, No. 1, 173–197 (1998; Zbl 0978.53121)] and S. R. Williams [The Seiberg-Witten invariant on non-Kähler complex surfaces, Thesis (Ph.D.)- University of Adelaide, Dept. of Pure Mathematics (1997)] independently.

MSC:
57R18 Topology and geometry of orbifolds
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