Gluing Seiberg-Witten monopoles



Communications in Analysis and Geometry

Gluing Seiberg-Witten monopoles

Pedram Safari

Source: Comm. Anal. Geom. Volume 13, Number 4 (2005), 697-725.

Abstract

We establish a canonical gluing procedure for Seiberg–Witten monopoles on the two pieces of a closed, oriented four-manifold $X$ which is split along a $3$-dimensional closed, oriented submanifold. We only assume that the (unperturbed) character variety is Kuranishi-smooth and the limiting maps are transversal—then we will be able to glue regular monopoles over the irreducible points of the character variety.

Primary Subjects: 53C07
Secondary Subjects: 57Rxx, 58Jxx

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.cag/1144094670
Mathematical Reviews number (MathSciNet): MR2191904
Zentralblatt MATH identifier: 05015981


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