pith. machine review for the scientific record. sign in

arxiv: math/0612128 · v2 · submitted 2006-12-05 · 🧮 math.GT · math.DG

Recognition: unknown

Lengths of geodesics on non-orientable hyperbolic surfaces

Paul Norbury
Authors on Pith no claims yet
classification 🧮 math.GT math.DG
keywords hyperbolicboundarygeodesicsidentitylengthsnon-orientablesurfacesclosed
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Refined lattice point counting on the moduli space of Klein surfaces

    math.AG 2026-05 unverdicted novelty 8.0

    Defines metric Möbius graphs for Klein surfaces, proves a refined Norbury recursion on weighted lattice counts, derives a refined Witten-Kontsevich recursion, and explicitly computes the refined Euler characteristic o...