Angle Parametrization of Teichmüller space

Subash Chandra Behera, Shiv Parsad

Published 2024-02-29, updated 2024-03-16Version 2

Let $S_g$ be a closed orientable surface of genus $g \geq 3$, and let $\mathcal{T}_g$ be the Teichm\"{u}ller space of $S_g$. In this work, we have proved that $\mathcal{T}_g$ can be parametrized by $6g-5$ angle parameters.