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Gluing Seiberg-Witten monopoles

Pedram Safari
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Abstract

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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Pedram Safari. 2003-11-19. Gluing Seiberg-Witten monopoles. https://arxiv.org/abs/math/0311329

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