Anomalous partially hyperbolic diffeomorphisms II: stably ergodic examples
Résumé
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.