Length series on Teichmuller space
Geometric Topology
2007-05-23 v1
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.
Cite
@article{arxiv.math/0403041,
title = {Length series on Teichmuller space},
author = {Greg McShane},
journal= {arXiv preprint arXiv:math/0403041},
year = {2007}
}
Comments
January 2004