2 papers
math.GT2020
Meromorphic functions on flat surfaces
Ian Frankel
We prove a quantitative version of the non-uniform hyperbolicity of the Teichmüller geodesic flow. Namely, at each point of any Teichmüller flow line, we bound the infinitesimal sp…
math.GT2018
CAT(-1)-Type Properties for Teichmüller Space
Ian Frankel
We show that if Teichmüller geodesics spend enough time in the thick part of moduli space, they display CAT(-1)-type properties. In particular, they exponentially contract along st…