English

Monopoles over 4-manifolds containing long necks, I

Differential Geometry 2014-11-11 v3 Geometric Topology

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.

Keywords

Cite

@article{arxiv.math/0310047,
  title  = {Monopoles over 4-manifolds containing long necks, I},
  author = {Kim A Froyshov},
  journal= {arXiv preprint arXiv:math/0310047},
  year   = {2014}
}

Comments

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

R2 v1 2026-07-22T16:58:18.617Z