Recurrent Surface Homeomorphisms

Surface Homeomorphisms That Do Not Extend to Any Handlebody and the Johnson

Surface Homeomorphisms That Do Not Extend to Any Handlebody and the Johnson Filtration

Component Orbits under Pointwise Recurrent Homeomorphisms

N -expansive Homeomorphisms on Surfaces

We exploit the techniques developed in [Le] to study N -expansive homeomorphisms on surfaces. We prove that when f is a 2-expansive homeomorphism defined on a compact boundaryless surface M with nonwandering set Ω(f) being the whole of M then f is expansive. This condition on the nonwandering set cannot be relaxed: we present an example of a 2-expansive homeomorphisms on a surface with genus 2 ...

Infinite sequence of fixed point free pseudo-Anosov homeomorphisms

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-Veec...

On Fiber-preserving Isotopies of Surface Homeomorphisms

We show that there are homeomorphisms of closed oriented genus g surfaces Σg which are fiber-preserving with respect to an irregular branched covering Σg → S2 and isotopic to the identity, but which are not fiber-isotopic to the identity.