Spectral theory for the Weil-Petersson Laplacian on the Riemann moduli space

Lizhen Ji, Rafe Mazzeo, Werner Müller +1

We study the spectral geometric properties of the scalar Laplace-Beltrami operator associated to the Weil-Petersson metric $g_{\mathrm{WP}}$ on ${\mathcal{M}}_{\gamma }$, the Riemann moduli s…