Weil-Petersson volumes and cone surfaces

Details Weil-Petersson volumes and cone surfaces Weil-Petersson volumes and cone surfaces

2006-03-16

arxiv.org/abs/math/0603406v1

Mathematics

Algebraic Geometry

14 pages

Scientific paper

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.

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