On the Yang-Mills Functional over Open Four-Manifolds

TL;DR

This paper discusses the properties of the Yang-Mills functional specifically over open four-dimensional manifolds, contributing to the understanding of gauge theory in non-compact settings.

Contribution

It provides new insights into the behavior of Yang-Mills fields on open four-manifolds, extending previous compact manifold results.

Findings

Characterization of Yang-Mills functional on open four-manifolds

Extension of gauge theory techniques to non-compact settings

Identification of unique features in the open manifold case

Abstract

This early trial has been withdrawn by the author. For a completed and published version cf. arXiv:math/0608597v5.