Hiroshima Mathematical Journal
- Hiroshima Math. J.
- Volume 41, Number 1 (2011), 11-25.
A series associated to generating pairs of a once punctured torus group and a proof of McShane’s identity
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.
Hiroshima Math. J., Volume 41, Number 1 (2011), 11-25.
First available in Project Euclid: 31 March 2011
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Nakanishi, Toshihiro. A series associated to generating pairs of a once punctured torus group and a proof of McShane’s identity. Hiroshima Math. J. 41 (2011), no. 1, 11--25. doi:10.32917/hmj/1301586287. https://projecteuclid.org/euclid.hmj/1301586287