Lengths of geodesics on non-orientable hyperbolic surfaces
Geometric Topology
2007-06-12 v2 Differential Geometry
Abstract
We give an identity involving sums of functions of lengths of simple closed geodesics, known as a McShane identity, on any non-orientable hyperbolic surface with boundary which generalises Mirzakhani's identities on orientable hyperbolic surfaces with boundary.
Cite
@article{arxiv.math/0612128,
title = {Lengths of geodesics on non-orientable hyperbolic surfaces},
author = {Paul Norbury},
journal= {arXiv preprint arXiv:math/0612128},
year = {2007}
}
Comments
23 pages; improved description of the moduli space