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Article Dans Une Revue Ergodic Theory and Dynamical Systems Année : 2019

Topological classification of Morse–Smale diffeomorphisms without heteroclinic curves on 3-manifolds

Résumé

We show that, up to topological conjugation, the equivalence class of a Morse–Smale diffeomorphism without heteroclinic curves on a $3$-manifold is completely defined by an embedding of two-dimensional stable and unstable heteroclinic laminations to a characteristic space.
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Dates et versions

hal-01467144 , version 1 (14-02-2017)
hal-01467144 , version 2 (22-09-2017)

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Christian Bonatti, V. Z. Grines, Francois Laudenbach, Olga Pochinka. Topological classification of Morse–Smale diffeomorphisms without heteroclinic curves on 3-manifolds. Ergodic Theory and Dynamical Systems, 2019, 39 (9), pp.2403-2432. ⟨10.1017/etds.2017.129⟩. ⟨hal-01467144v2⟩
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