Dehn twists and pseudo-Anosov diffeomorphisms
type: Item
instance of: scholarly article
title: Dehn twists and pseudo-Anosov diffeomorphisms
zbMATH Open document ID: 0618.58027
DOI: 10.1007/BF01389156
author: Albert Fathi
published in: Inventiones Mathematicae
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143416
review text: The author shows that it is possible to obtain many pseudo-Anosov diffeomorphisms from Dehn twists. Let M be a closed and oriented surface. The set of isotopy classes of simply connected closed curves on M is denoted by \({\mathcal S}(M)\), the set of isotopy classes of diffeomorphisms by \(\pi_ 0(Diff(M))\). He proves the following theorem: Let f be in \(\pi_ 0(Diff(M))\) and let \(\gamma\) be in \({\mathcal S}(M)\). If the orbit of \(\gamma\) under f fills M, then \(T^ n_{\gamma} f\) is a pseudo-Anosov class except for at most 7 consecutive values of n.
reviewed by: Andrejs Reinfelds
Mathematics Subject Classification ID: 37D99
zbMATH DE Number: 4003112
zbMATH Keywords: pseudo-Anosov diffeomorphisms
MaRDI profile type: Publication
cites work: Two boundaries of Teichmüller space
cites work: Difféomorphismes pseudo-Anosov et automorphismes symplectiques de l'homologie
cites work: Geometric intersection functions and Hamiltonian flows on the space of measured foliations on a surface
cites work: Q3326476
cites work: Q3338499
OpenAlex ID: W1969272943
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description: scientific article; zbMATH DE number 4003112