Teichmüller Curves in TQFT

Thu, 22/11/2012
15:00
Shehryar Sikander (Aarhus University) Junior Geometry and Topology Seminar Add to calendar SR1
In this talk we show how Teichmüller curves can be used to compute quantum invariants of certain Pseudo-Anasov mapping tori. This involves computing monodromy of the Hitchin connection along closed geodesics of the Teichmüller curve using iterated integrals. We will mainly focus on the well known Teichmüller curve generated by a pair of regular pentagons. This is joint work with J. E. Andersen.