%0 Journal Article
%T Anomalous partially hyperbolic diffeomorphisms I: dynamically coherent examples
%A Christian Bonatti
%A Kamlesh Parwani
%A Rafael Potrie
%J Mathematics
%D 2014
%I arXiv
%X We build an example of a non-transitive, dynamically coherent partially hyperbolic diffeomorphism $f$ on a closed $3$-manifold with exponential growth in its fundamental group such that $f^n$ is not isotopic to the identity for all $n\neq 0$. This example contradicts a conjecture in \cite{HHU}. The main idea is to consider a well-understood time-$t$ map of a non-transitive Anosov flow and then carefully compose with a Dehn twist.
%U http://arxiv.org/abs/1411.1221v2