an:05885292
Zbl 1217.37040
Lanneau, Erwan
Infinite sequence of fixed point free pseudo-Anosov homeomorphisms on a family of genus two surfaces
EN
Kolyada, Sergiy (ed.) et al., Dynamical numbers. Interplay between dynamical systems and number theory. A special program, May 1--July 31, 2009. International conference, MPI, Bonn, Germany, July 20--24, 2009. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4958-3). Contemporary Mathematics 532, 231-242 (2010).
2010
a
37E05 37D40
pseudo-Anosov homeomorphism; Rauzy-Veech induction
Summary: We construct an infinite sequence of pseudo-Anosov homeomorphisms without fixed separatrix, and leaving invariant a family of genus two translation surfaces with a single zero. This extends previous work of \textit{J. Los} [Ergodic Theory Dyn. Syst. 30, No.~6, 1739--1755 (2010; Zbl 1213.37071)]. The construction uses the Rauzy-Veech induction.
For the entire collection see [Zbl 1205.00087].
Zbl 1213.37071