Anomalous partially hyperbolic diffeomorphisms II: stably ergodic examples
arXiv:1506.07804 · doi:10.1007/s00222-016-0663-7
Abstract
We construct examples of robustly transitive and stably ergodic partially hyperbolic diffeomorphisms $f$ on compact $3$-manifolds with fundamental groups of exponential growth such that $f^n$ is not homotopic to identity for all $n>0$. These provide counterexamples to a classification conjecture of Pujals.
30 pages, 7 figures. Updated version after referee's remarks. To appear in Inventiones Math