Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms
Dynamical Systems
2020-02-25 v1 Geometric Topology
Abstract
We show that if a partially hyperbolic diffeomorphism of a Seifert manifold induces a map in the base which has a pseudo-Anosov component then it cannot be dynamically coherent. This extends work of Bonatti, Gogolev, Hammerlindl and Potrie to the whole isotopy class. We relate the techniques with the study of certain partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds performed in the previous paper by the authors. The appendix reviews some consequences of the Nielsen-Thurston classification of surface homeomorphisms to the dynamics of lifts of such maps to the universal cover.
Cite
@article{arxiv.2002.10315,
title = {Dynamical incoherence for a large class of partially hyperbolic diffeomorphisms},
author = {Thomas Barthelmé and Sergio Fenley and Steven Frankel and Rafael Potrie},
journal= {arXiv preprint arXiv:2002.10315},
year = {2020}
}
Comments
18 pages, 1 figure