Potentials and Chern forms for Weil-Petersson and Takhtajan-Zograf metrics on moduli spaces

Jinsung Park, Leon A. Takhtajan, Lee-Peng Teo

For the TZ metric on the moduli space ${\mathcal{M}}_{0,n}$ of $n$-pointed rational curves, we construct a Kähler potential in terms of the Fourier coefficients of the Klein's Hauptm…