Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces

Intersection theory on the moduli space of curves and the matrix airy function

Maxim Kontsevich · Communications in Mathematical Physics · 1992 · 1.5K citations

Moduli Space, Matrix Airy Function, Algebraic Analysis +2

The symplectic nature of fundamental groups of surfaces

William M. Goldman · Advances in Mathematics · 1984 · 740 citations

Lie Group, Symplectic Nature, Geometry +2

The Fenchel-Nielsen Deformation

Scott A. Wolpert · Annals of Mathematics · 1982 · 206 citations

Integral Geometry, Symmetry Principles, Hyperbolic Metrics +11

Simple geodesics and a series constant over Teichmuller space

Greg McShane · Inventiones mathematicae · 1998 · 148 citations

Riemannian Geometry, Global Analysis, Global Geometry +1

On the Homology of the Moduli Space of Stable Curves

Scott A. Wolpert · Annals of Mathematics · 1983 · 124 citations

Global Analysis, Complex Geometry, Enumerative Geometry +1