Recursion formula for the volumes of moduli spaces of compact hyperbolic surfaces with cone points

Haoyang Jiang, Lixin Liu

Let $V_{g,m,n}(\overrightarrow{L},\overrightarrow{\hat{I}}¸)$ be the Weil-Petersson volume of the moduli space of hyperbolic surfaces of genus g with m geodesic boundary components of leng…