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Infinite sequence of fixed-point free pseudo-Anosov homeomorphisms

Published online by Cambridge University Press:  24 November 2009

JÉRÔME LOS
JÉRÔME LOS*
Affiliation:
Laboratoire d’Analyse, Topologie, Probabilité (LATP), UMR CNRS 6632, Université de Provence, 39 rue F. Joliot Curie, 13453 Marseille Cedex 13, France (email: [email protected])
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Abstract

We construct an infinite sequence of pseudo-Anosov homeomorphisms without fixed points and leaving invariant a sequence of orientable measured foliations on the same topological surface and the same stratum of the space of Abelian differentials. The existence of such a sequence shows that all pseudo-Anosov homeomorphisms fixing orientable measured foliations cannot be obtained by the Rauzy–Veech induction strategy.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 30 , Issue 6 , December 2010 , pp. 1739 - 1755
Copyright
Copyright © Cambridge University Press 2009

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