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.
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Communications in Analysis and Geometry