arXiv subjects

Simone Marzioni

Publications and source records attributed to Simone Marzioni.

2 recordsLinked to original sources

arXiv2016

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 $G_{\mathbb C}$. We use a generalization of the Weil-Gel'fand-Zak transform to exhibit an explicit expression for the representation.

math.QA↗

arXiv2016

Level N Teichmüller TQFT and Complex Chern-Simons Theory

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 $\rm{PSL}(2,\mathbb{C})$.

math.GT↗