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arXiv · 1005.1765

\'el\'ements de distorsion du groupe des diff\'eomorphismes isotopes \`a l'identit\'e d'une vari\'et\'e compacte

Emmanuel Militon
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Abstract

We consider, on a compact manifold, the group of diffeomorphisms that are isotopic to the identity. We show that every recurrent element is a distorsion element. This generalizes Avila's theorem on circle diffeomorphisms. The method also provides a new proof of a result by Calegari and Freedman: on a sphere, in the group of homeomorphisms that are isotopic to the identity, every element is distorted.

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Emmanuel Militon. 2010-05-11. \'el\'ements de distorsion du groupe des diff\'eomorphismes isotopes \`a l'identit\'e d'une vari\'et\'e compacte. https://arxiv.org/abs/1005.1765

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