# Uhlenbeck compactness for Yang-Mills flow in higher dimensions

## TL;DR

This paper establishes a Uhlenbeck compactness theorem for Yang-Mills flow solutions in higher dimensions, addressing singular set rectifiability at finite or infinite times, advancing understanding of geometric analysis in gauge theory.

## Contribution

It extends Uhlenbeck compactness results to Yang-Mills flow in dimensions four and higher, including singular set rectifiability analysis.

## Key findings

- Proves a general Uhlenbeck compactness theorem for Yang-Mills flow.
- Shows rectifiability of the singular set at finite or infinite time.
- Applies to Riemannian manifolds of dimension n ≥ 4.

## Abstract

This paper proves a general Uhlenbeck compactness theorem for sequences of solutions of Yang-Mills flow on Riemannian manifolds of dimension $n \geq 4,$ including rectifiability of the singular set at finite or infinite time.