Local aspects of topological quantization and the Wu-Yang Monopoles

TL;DR

This paper reviews how local potentials are involved in Wu-Yang topological quantization, highlighting the role of cohomology classes and the significance of local and global information in gauge theories.

Contribution

It elucidates the relationship between local potentials, cohomology classes, and topological quantization in gauge theories, emphasizing the importance of local-global interplay.

Findings

Clarifies the role of local potentials in Wu-Yang topological quantization

Demonstrates the isomorphism between de Rham and Cech cohomology classes

Highlights the significance of local and global information in gauge theories

Abstract

In this paper, we review how local potentials arise in the Wu-Yang topological quantization. We also discuss the isomorphism between the de Rham cohomology classes and Cech cohomology classes in such topological quantization. We also emphasize the importance and application of local and global information in gauge theories.