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arxiv: 1112.0717 · v2 · pith:FXFVE3CKnew · submitted 2011-12-04 · 🧮 math.GT

Seiberg-Witten invariants of 3-orbifolds and non-K\"{a}hler surfaces

classification 🧮 math.GT
keywords invariantseiberg-wittenciteformulahlernon-kapplicationbiquard
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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-K\"{a}hler complex surface, which was originally due to O. Biquard \cite{Biq} and S.R. Williams \cite{W} independently.

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