Monopoles over 4-manifolds containing long necks, I

Mathematics – Differential Geometry

Scientific paper

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Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper1.abs.html

Scientific paper

We study moduli spaces of Seiberg-Witten monopoles over spin^c Riemannian
4-manifolds with long necks and/or tubular ends. This first part discusses
compactness, exponential decay, and transversality. As applications we prove
two vanishing theorems for Seiberg-Witten invariants.

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