McShane's identity, using elliptic elements

Mathematics – Metric Geometry

Scientific paper

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15 pages, 6 figures

Scientific paper

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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