Anomalous partially hyperbolic diffeomorphisms II: stably ergodic examples

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

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• Anomalous partially hyperbolic diffeomorphisms II: stably ergodic examples

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