Some new invariants of Morse-Smale diffeomorphisms of a surface
type: Item
instance of: scholarly article
title: Some new invariants of Morse-Smale diffeomorphisms of a surface
zbMATH Open document ID: 0769.58033
publication date: 1993-06-13T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74992
review text: Soit \(f\) un difféomorphisme Morse-Smale d'une surface fermée. A une courbe instable de comportement 1 par rapport à un attracteur \(A\) de \(f\) correspond une courbe fermée sur un des tores (Bassin\((A)-A)/(f)\). Cette remarque nous permettra de définir de nouveaux invariants de conjugaison de \(f\). Nous en déduisons aussi un moyen d'écrire explicitement une puissance de \(f\) comme le produit du temps 1 d'un champ de vecteurs Morse-Smale topologique par des isotopies à support des disques et des twists de Dehn de supports disjoints.
Mathematics Subject Classification ID: 37D15
zbMATH DE Number: 179557
zbMATH Keywords: Morse-Smale diffeomorphism
zbMATH Keywords: instable curve
zbMATH Keywords: invariants
author: Rémi Langevin
MaRDI profile type: Publication
OpenAlex ID: W2334322568
cites work: The topological classification of cascades on closed two-dimensional manifolds
cites work: Q3223589
cites work: Classification of gradient-like flows on dimensions two and three
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cites work: Homology theory and dynamical systems
DOI: 10.5802/AIF.1330
published in: Annales de l’institut Fourier
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description: scientific article; zbMATH DE number 179557