The genus one complex quantum Chern–Simons representation of the mapping class group
The genus one complex quantum Chern–Simons representation of the mapping class group
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 [Formula: see text]. We use a generalization of the Weil-Gel’fand–Zak transform to exhibit an explicit …