Inventiones mathematicae

, Volume 87, Issue 1, pp 129–151

Dehn twists and pseudo-Anosov diffeomorphisms

  • Albert Fathi
Article

DOI: 10.1007/BF01389156

Cite this article as:
Fathi, A. Invent Math (1987) 87: 129. doi:10.1007/BF01389156

Summary

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.

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

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