Dehn twists and pseudo-Anosov diffeomorphisms |
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Authors: | Albert Fathi |
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Affiliation: | (1) Département de Mathématique, UA 1169 du CNRS, Université Paris-Sud, Bâtiment 425, F-91405 Orsay, France |
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Abstract: | 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 andT is the Dehn twist around the simple closed curve , then the isotopy class ofTnf contains a pseudo-Anosov diffeomorphism except for at most 7 consecutive values ofn. |
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