English

McShane's identity, using elliptic elements

Metric Geometry 2008-02-22 v1

Abstract

We introduce a new method to establish McShane's Identity, based upon the fact that elliptic elements of order two in the Fuchsian group uniformizing the quotient of a fixed once-punctured hyperbolic torus act so as to exclude points as being highest points of geodesics.

Cite

@article{arxiv.0802.3096,
  title  = {McShane's identity, using elliptic elements},
  author = {Thomas A. Schmidt and Mark Sheingorn},
  journal= {arXiv preprint arXiv:0802.3096},
  year   = {2008}
}

Comments

15 pages, 6 figures

R2 v1 2026-06-21T10:14:39.126Z