Monopoles over 4-manifolds containing long necks, I

Abstract

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.

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

References in corpus (1)

• Zero Sets of Solutions to Semilinear Elliptic Systems of First Order

Cited by in corpus (3)

• Geometrically simply connected 4-manifolds and stable cohomotopy Seiberg-Witten invariants
• A vanishing result for a Casson-type instanton invariant
• A generalized blow-up formula for Seiberg--Witten invariants