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Level N Teichmüller TQFT and Complex Chern-Simons Theory

2016/12/21 by Andersen, Jørgen Ellegaard, Marzioni, Simone
#57M27 #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)

paper · doi:10.48550/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 \rmPSL(2,ℂ).

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