Seiberg-Witten invariants of 3-orbifolds and non-K\"{a}hler surfaces
Weimin Chen
TL;DR
This paper presents a formula to compute Seiberg-Witten invariants of 3-orbifolds from their underlying manifolds and applies it to derive invariants for non-Kähler complex surfaces, extending previous results.
Contribution
It introduces a new formula linking orbifold and manifold invariants and applies it to non-Kähler surfaces, providing a unified approach to their Seiberg-Witten invariants.
Findings
Formula for Seiberg-Witten invariants of 3-orbifolds from underlying manifolds
Derived invariants for non-Kähler complex surfaces
Unified approach to invariants of orbifolds and complex surfaces
Abstract
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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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology