Length series on Teichmuller space

Abstract

We prove that a certain series defines a constant function using Wolpert's formula for the variation of the length of a geodesic along a Fenchel Nielsen twist. Subsequently we determine the value viewing it as function on the the Deligne Mumford compactification and evaluating it at the stable curve at infinity.

January 2004

Cited by in corpus (2)

• Generalizations of McShane's identity to hyperbolic cone-surfaces
• Simple geodesics on a punctured surface