2020/02/24 by Thomas Barthelmé, Barthelmé, Thomas, Sérgio R. Fenley +5
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems
paper · pdf · doi:10.48550/arxiv.2002.10315
openalex publication_date 2020/02/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that if a partially hyperbolic diffeomorphism of a Seifert manifold\ninduces a map in the base which has a pseudo-Anosov component then it cannot be\ndynamically coherent. This extends work of Bonatti, Gogolev, Hammerlindl and\nPotrie to the whole isotopy class. We relate the techniques with the study of\ncertain partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds\nperformed in the previous paper by the authors. The appendix reviews some\nconsequences of the Nielsen-Thurston classification of surface homeomorphisms\nto the dynamics of lifts of such maps to the universal cover.\n