The genus one Complex Quantum Chern-Simons representation of the Mapping Class Group
arXiv:1608.06872
Abstract
In this paper we compute explicitly, following Witten's prescription, the quantum representation of the mapping class group in genus one for complex quantum Chern-Simons theory associated to any simple and simply connected complex gauge group $G_{\mathbb C}$. We use a generalization of the Weil-Gel'fand-Zak transform to exhibit an explicit expression for the representation.
The results of the first version of the paper for the group SL(2,C) has all been generalised to hold for any simple and simply connected complex group