Monopoles over 4-manifolds containing long necks, I
Kim A Froyshov
Abstract
We study moduli spaces of Seiberg-Witten monopoles over spinc 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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