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

Ch Bonatti; V Grines; F Laudenbach; O Pochinka

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arXiv · 1702.04960

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

Ch Bonatti·V Grines·F Laudenbach·O Pochinka

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Abstract

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.

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Ch Bonatti, V Grines, F Laudenbach, O Pochinka. 2017-02-16. Topological classification of Morse-Smale diffeomorphisms without heteroclinic curves on 3-manifolds. https://arxiv.org/abs/1702.04960

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