Inventiones mathematicae

, Volume 87, Issue 1, pp 129–151

Dehn twists and pseudo-Anosov diffeomorphisms

  • Albert Fathi


We show that it is possible to obtain many pseudo-Anosov diffeomorphisms from Dehn twists. In particular, we generalize a theorem of Long and Morton to obtain that iff is a pseudo-Anosov diffeomorphism of an oriented surface andTγ is the Dehn twist around the simple closed curve γ, then the isotopy class ofTγnf contains a pseudo-Anosov diffeomorphism except for at most 7 consecutive values ofn.


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Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Albert Fathi
    • 1
  1. 1.Département de MathématiqueUA 1169 du CNRS, Université Paris-SudOrsayFrance

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