Moduli spaces of PU(2)-monopoles

TL;DR

This paper addresses the complex problems of transversality and compactification in the moduli spaces of PU(2)-monopoles, providing improved proofs and clearer understanding of their structure.

Contribution

It offers a simplified and clearer proof of transversality results for PU(2)-monopole moduli spaces, advancing the mathematical understanding of these spaces.

Findings

Simplified proofs of transversality for PU(2)-monopoles

Enhanced understanding of moduli space compactification

Published improved version with clearer arguments

Abstract

The goal of this article was the S^1-equivariant transversality-problem and the compactification-problem for the moduli spaces of (perturbed) PU(2)-monopoles. A substantially improved version entitled "Moduli spaces of PU(2)-monopoles (revised version)" which gives simpler, clearer proofs of the transversality results, has been published on arxiv in June 99 and appeared in Asian J. Math, see Moduli spaces of PU(2)-Monopoles, Asian J. Math. Vol. 4, No. 2 (2000), 391-436.