English

Gluing Seiberg-Witten monopoles

Differential Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0311329,
  title  = {Gluing Seiberg-Witten monopoles},
  author = {Pedram Safari},
  journal= {arXiv preprint arXiv:math/0311329},
  year   = {2007}
}

Comments

26 pages, 3 figures (eps)