Estimates for the average scalar curvature of the Weil-Petersson metric on the Moduli space ${\overline{\mathcal{M}}}_g$

Georg Schumacher, Stefano Trapani

We give a precise estimate for the average scalar curvature of the Weil-Petersson metric on the moduli space ${\overline{\mathcal{M}}}_g$ as $g\to \infty$ up to the order $1/g^2$.