Monopoles over 4-manifolds containing long necks, II
Differential Geometry
2010-04-09 v5 Geometric Topology
Abstract
We establish a gluing theorem for monopoles over 4--manifolds containing long necks. The theorem is stated in terms of an ungluing map defined explicitly in terms of data that appear naturally in applications. Orientations of moduli spaces are handled using Benevieri--Furi's concept of orientations of Fredholm operators of index 0.
Cite
@article{arxiv.math/0503197,
title = {Monopoles over 4-manifolds containing long necks, II},
author = {Kim A. Froyshov},
journal= {arXiv preprint arXiv:math/0503197},
year = {2010}
}
Comments
71 pages. v2: Only minor changes. v3: New material on orientations. v4: One paragraph in the introduction was rewritten. v5: Abstract added