# The homotopy types of $U(n)$-gauge groups over lens spaces

## TL;DR

This paper investigates the homotopy types of gauge groups associated with principal U(n)-bundles over lens spaces, providing insights into their topological structure.

## Contribution

It offers a detailed analysis of the homotopy types of gauge groups over lens spaces, a topic not extensively covered before.

## Key findings

- Classification of homotopy types of gauge groups
- Identification of topological invariants influencing gauge group structure
- Comparison with gauge groups over other 3-manifolds

## Abstract

We analyse the homotopy types of gauge groups for principal $U(n)$-bundles over lens spaces.