pith. sign in

arxiv: 0806.4027 · v2 · submitted 2008-06-25 · 🧮 math.DS · math.GT

Infinite sequence of fixed point free pseudo-Anosov homeomorphisms

classification 🧮 math.DS math.GT
keywords homeomorphismspseudo-anosovfixedfoliationsinfinitemeasuredorientablesame
0
0 comments X
read the original abstract

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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.