# Equivalence of the Self--Dual Model and Maxwell--Chern--Simons Theory on
Arbitrary Manifolds

**Source**: https://www.maths.tcd.ie/report_series/abstracts/tcdm9914.html
**Parent**: https://www.maths.tcd.ie/research/papers/

**Equivalence of the Self--Dual Model and Maxwell--Chern--Simons Theory on
Arbitrary Manifolds**

Using a group-invariant version of the Faddeev--Popov method we explicitly
obtain the partition functions of the Self--Dual Model and
Maxwell--Chern--Simons theory. We show that their ratio coincides with the
partition function of abelian Chern--Simons theory to within a phase
factor depending on the geometrical properties of the manifold.