Weil-Petersson areas of the moduli spaces of tori (Q1384133)

It is proved that the Weil-Petersson area of the moduli space of the torus with one conical point of order \(\nu\) is \((\pi^2/6) (1-1/\nu^2)\) and that of the moduli space of the torus with a totally geodesic boundary curve of length \(m\) is \(\pi^2/6+ m^2/24\).