McShane's identity, using elliptic elements

2008/02/21 by Schmidt, Thomas A., Sheingorn, Mark
#20H10 #57M50 #FOS: Mathematics #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.0802.3096

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.

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