Seiberg-Witten Equations on Three-Manifolds with Euclidean Ends

Details Seiberg-Witten Equations on Three-Manifolds with Euclidean Ends Seiberg-Witten Equations on Three-Manifolds with Euclidean Ends

1997-06-24

arxiv.org/abs/dg-ga/9706013v4

Mathematics

Differential Geometry

80 pages. To appear in Comm. Anal. Geom. The last section and Appendix B in the original version have been deleted to shorten

Scientific paper

We construct the Seiberg-Witten theory on 3-manifolds with Euclidean ends (connected sums of $\R^3$ and a compact manifold) with perturbations which approximate $*dx_3$ at infinity, and describe the structure of the moduli spaces. The setup is inspired by Taubes's program of relating the 4-dimensional Seiberg-Witten invariant with `singular Gromov invariants' and has related applications.

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