Gluing an infinite number of instantons
Differential Geometry
2008-03-11 v4 Analysis of PDEs
Abstract
This paper is one step toward infinite energy gauge theory and the geometry of infinite dimensional moduli spaces. We generalize a gluing construction in the usual Yang-Mills gauge theory to an ``infinite energy'' situation. We show that we can glue an infinite number of instantons, and that the resulting instantons have infinite energy in general. Moreover we show that they have an infinite dimensional parameter space. Our construction is a generalization of Donaldson's ``alternating method''.
Cite
@article{arxiv.math/0508049,
title = {Gluing an infinite number of instantons},
author = {Masaki Tsukamoto},
journal= {arXiv preprint arXiv:math/0508049},
year = {2008}
}
Comments
Some explanations are added