Fenchel-Nielsen Coordinates on Teichmüller Space

Geometry Topology Student Seminar
Wednesday, November 12, 2014 - 14:00
1 hour (actually 50 minutes)
Skiles 006
Georgia Tech
A surface with negative Euler characteristic has a hyperbolic metric.  However, this metric is not unique.  We will consider the Teichmüller space of a surface, which is the space of hyperbolic structures up to an equivalence relation.  We will discuss the topology of and how to put coordinates on this space.  If there is time, we will see that the lengths of 9g-9 curves determine the hyperbolic structure.