A norm on homology of surfaces and counting simple geodesics
Geometric Topology
2007-05-23 v1 Differential Geometry
Dynamical Systems
Number Theory
Abstract
We define a norm on homology of punctured tori equipped with a complete hyperbolic metric of finite volume and use it to find asymptotics on the growth of the number of simple geodesics of bounded length.
Cite
@article{arxiv.math/0005222,
title = {A norm on homology of surfaces and counting simple geodesics},
author = {Greg McShane and Igor Rivin},
journal= {arXiv preprint arXiv:math/0005222},
year = {2007}
}
Comments
9pp