# Chern-Simons Theory on a General Seifert 3-Manifold

## TL;DR

This paper evaluates the Chern-Simons partition function on general Seifert 3-manifolds, extending prior results through abelianisation, background field techniques, and Kawasaki Index theorem applications.

## Contribution

It introduces a generalized method for computing Chern-Simons invariants on Seifert 3-manifolds, broadening the scope of previous specific cases.

## Key findings

- Partition function explicitly computed for general Seifert 3-manifolds
- Utilizes abelianisation and Kawasaki Index theorem techniques
- Extends previous results to more general manifolds

## Abstract

The path integral for the partition function of Chern-Simons gauge theory with a compact gauge group is evaluated on a general Seifert 3-manifold. This extends previous results and relies on abelianisation, a background field method and local application of the Kawasaki Index theorem.