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March 2011 A series associated to generating pairs of a once punctured torus group and a proof of McShane’s identity
Toshihiro Nakanishi
Hiroshima Math. J. 41(1): 11-25 (March 2011). DOI: 10.32917/hmj/1301586287

Abstract

We give a proof of McShane’s identity in "Weierstrass points and simple geodesics," Bull. London Math. Soc., 36 (2004), 181–187, based on the investigation on the arrangement of axes of simple hyperbolic elements in a once punctured torus group which are represented by palindromic words. Our argument includes a short proof of the fact that the linear measure of the infinitesimal Birman-Series set is zero.

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Toshihiro Nakanishi. "A series associated to generating pairs of a once punctured torus group and a proof of McShane’s identity." Hiroshima Math. J. 41 (1) 11 - 25, March 2011. https://doi.org/10.32917/hmj/1301586287

Information

Published: March 2011
First available in Project Euclid: 31 March 2011

zbMATH: 1233.57011
MathSciNet: MR2809045
Digital Object Identifier: 10.32917/hmj/1301586287

Subjects:
Primary: 20H10
Secondary: 57M50

Rights: Copyright © 2011 Hiroshima University, Mathematics Program

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Vol.41 • No. 1 • March 2011
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