2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148799We 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.80 pages. To appear in Comm. Anal. Geom. The last section and Appendix B in the original version have been deleted to shorten lengthDifferential Geometrytext