Gluing Seiberg-Witten monopoles

Details Gluing Seiberg-Witten monopoles Gluing Seiberg-Witten monopoles

2003-11-19

arxiv.org/abs/math/0311329v1

Communications in Analysis and Geometry 13 (2005), no. 4, 697--725.

Mathematics

Differential Geometry

26 pages, 3 figures (eps)

Scientific paper

We establish a canonical gluing procedure for Seiberg-Witten monopoles on the two pieces of a closed, oriented 4-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.

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