The Moduli space of Riemann Surfaces of Large Genus

Alastair Fletcher, Jeremy Kahn, Vladimir Markovic

Let ${\mathcal{M}}_{g,\epsilon }$ be the $\epsilon$-thick part of the moduli space ${\mathcal{M}}_g$ of closed genus $g$ surfaces. In this article, we show that the number of balls of radius $r$ need…