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

Ch Bonatti (1) , V Grines (2) , F Laudenbach (3) , O Pochinka (2)

1 IMB - Institut de Mathématiques de Bourgogne [Dijon]
2 HSE - Vysšaja škola èkonomiki = National Research University Higher School of Economics [Moscow]
3 LMJL - Laboratoire de Mathématiques Jean Leray

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

Mots clés: Morse-Smale diffeomorphism; topological classification; heteroclinic lamination

Domaines: Topologie géométrique [math.GT]

Ch Bonatti, V Grines, F Laudenbach, O Pochinka. Topological classification of Morse-Smale diffeomorphisms without heteroclinic curves on 3-manifolds. 2017. ⟨hal-01467144v1⟩