Weil-Petersson volumes and cone surfaces
Algebraic Geometry
2007-05-23 v1 Algebraic Topology
Abstract
The moduli spaces of hyperbolic surfaces of genus g with n geodesic boundary components are naturally symplectic manifolds. Mirzakhani proved that their volumes are polynomials in the lengths of the boundaries by computing the volumes recursively. In this paper we give new recursion relations between the volume polynomials.
Cite
@article{arxiv.math/0603406,
title = {Weil-Petersson volumes and cone surfaces},
author = {Norman Do and Paul Norbury},
journal= {arXiv preprint arXiv:math/0603406},
year = {2007}
}
Comments
14 pages