Quantum Teichmüller space in shear coordinates

Series
Geometry Topology Student Seminar
Time
Wednesday, February 3, 2021 - 2:00pm for 1 hour (actually 50 minutes)
Location
Online
Speaker
Tao Yu – Gatech
Organizer
Hongyi Zhou

The Teichmüller space is the space of hyperbolic structures on surfaces, and there are different flavors depending on the class of surfaces. In this talk we consider the enhanced Teichmüller space which includes additional data at boundary components. The enhanced version can be parametrized by shear coordinates, and in these coordinates, the Weil-Peterson Poisson structure has a simple form. We will discuss a construction of the quantum Teichmüller space corresponding to this Poisson structure.

 

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