Level N Teichmüller TQFT and Complex Chern-Simons Theory
arXiv:1612.06986
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 $\rm{PSL}(2,\mathbb{C})$.
To appear in Travaux Mathematiques