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 fn is not homotopic to identity for all n> 0. These provide counterexamples to a classification conjecture of Pujals.
CITATION STYLE
Bonatti, C., Gogolev, A., & Potrie, R. (2016). Anomalous partially hyperbolic diffeomorphisms II: stably ergodic examples. Inventiones Mathematicae, 206(3), 801–836. https://doi.org/10.1007/s00222-016-0663-7
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