Seiberg-Witten Equations on Three-Manifolds with Euclidean Ends
Abstract
We construct the Seiberg-Witten theory on 3-manifolds with Euclidean ends (connected sums of 3 and a compact manifold) with perturbations which approximate *dx3 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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