Monopoles over 4-manifolds containing long necks, II

Details Monopoles over 4-manifolds containing long necks, II Monopoles over 4-manifolds containing long necks, II

2005-03-10

arxiv.org/abs/math/0503197v5

Published (in revised form) as Part 2 of the monograph http://msp.warwick.ac.uk/gtm/2008/15/

Mathematics

Differential Geometry

71 pages. v2: Only minor changes. v3: New material on orientations. v4: One paragraph in the introduction was rewritten. v5: A

Scientific paper

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.

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