Geometry of quasi-Fuchsian manifolds
Student No.:40
Time:Tue & Wed 13:30-15:05, May.8/9/15/16
Instructor:Greg McShane  
Place:Conference Room 3, Jin Chun Yuan West Bldg.
Starting Date:2018-4-25
Ending Date:2018-5-16


The aim of the course is to understand the relation between Weil-Peterson distance and volumes of convex cores a topic that first appears in the work of Brock in in the late '90s. The course is divided into 3 parts:

1. The geometry of the convex core of a  quasi-fuchsian manifold in terms of the short geodesics following Jorgensen, Thurston, Minsky et al.

2. The theory of the renormalised volume of such manifolds following Schlenker and Krasnov.

3. Finally we discuss how the two topics are related to the Weil-Peterson geometry of moduli space.


Some basic notions from Riemann geometry – geodesics, volume and one dimensional complex geometry.




S.Kojima, G. McShane Normalized entropy versus volume for pseudo-Anosovs  to appear Geometry & Topology