Canonical metrics on the moduli space of Riemann Surfaces I

The irreducibility of the space of curves of given genus

Pierre Deligne, D. Mumford · Publications mathématiques de l IHÉS · 1969 · 1.7K citations

Riemann's Mapping Theorem for Variable Metrics

Lars V. Ahlfors, Lipman Bers · Annals of Mathematics · 1960 · 597 citations

Riemannian Geometry, Global Geometry, Riemannian Manifold +1

The extension of the Weil-Petersson metric to the boundary of Teichmuller space

Howard Masur · Duke Mathematical Journal · 1976 · 279 citations

Teichmuller Space, Complex Geometry, Global Geometry +1

Chern forms and the Riemann tensor for the moduli space of curves

Scott A. Wolpert · Inventiones mathematicae · 1986 · 242 citations

Global Geometry, Geometry, Moduli Space +5

Asymptotics of the spectrum and the Selberg zeta function on the space of Riemann surfaces

Scott A. Wolpert · Communications in Mathematical Physics · 1987 · 141 citations

Spectral Theory, Riemann-hilbert Problem, Analytic Number Theory +3