Level N Teichmüller TQFT and Complex Chern-Simons Theory

Abstract

In this manuscript we review the construction of the Teichmüller TQFT in [AK1], upgrading it to a theory dependent on an extra odd integer $N$ using results developed in [AK3]. We also describe how this theory is related with quantum Chern--Simons Theory at level $N$ with gauge group $\mathrm{PSL}(2,\mathbb{C})$.

To appear in Travaux Mathematiques

References in corpus (3)

• Complex Quantum Chern-Simons
• The Verlinde formula for Higgs bundles
• The Hitchin-Witten Connection and Complex Quantum Chern-Simons Theory