Infinite sequence of fixed point free pseudo-Anosov homeomorphisms

Details Infinite sequence of fixed point free pseudo-Anosov homeomorphisms Infinite sequence of fixed point free pseudo-Anosov homeomorphisms

2008-06-25

arxiv.org/abs/0806.4027v2

Mathematics

Dynamical Systems

Scientific paper

We construct infinite sequences 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 sequences show that all pseudo-Anosov homeomorphisms fixing orientable measured foliations cannot be obtained by the Rauzy-Veech induction strategy.

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