Convex structures of unit tangent spheres of Teichmüller spaces with Thurston’s metric
ABSTRACT
I will talk about how the unit tangent spheres look in Teichmüller space with Thurston’s metric. I will first briefly review the definition of Thurston’s metric and how its geodesics behave. Then we show that faces of the unit sphere can be characterised in terms of geodesic laminations.