The growth rate on the volume of ${\mathcal{M}}_g^{<L(g)}$

Jinsong Liu, Xu Shan, Lang Wang +1

Let ${\mathcal{M}}_g$ be the moduli space of hyperbolic surfaces of genus g endowed with the Weil-Petersson metric. In this paper, we introduce a function $L(g)$ of genus $g$ and cal…