Infinite sequence of fixed point free pseudo-Anosov homeomorphisms.

Jérôme Los (1)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

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.

Domaines: Systèmes dynamiques [math.DS]; Topologie géométrique [math.GT]

Jérôme Los. Infinite sequence of fixed point free pseudo-Anosov homeomorphisms.. 2009. ⟨hal-00289669v3⟩