Level N Teichm\"uller TQFT and Complex Chern-Simons Theory

Abstract

In this manuscript we review the construction of the Teichm\"uller 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 PSL(2,C).

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