Sur les rapprochements par conjugaison en dimension 1 et classe C^1
Dynamical Systems
2019-02-20 v4 Group Theory
Geometric Topology
Abstract
We prove that the space of actions of Z^d by C^1 (orientation-preserving) diffeomorphisms of either the interval or the circle is connected by arcs. This is proved by showing that all such actions can be C^0 conjugated via a 1-parameter family into diffeomorphisms that converge to either the trivial action or an action by Euclidean rotations. Extensions for nilpotent group actions are provided.
Cite
@article{arxiv.1208.4815,
title = {Sur les rapprochements par conjugaison en dimension 1 et classe C^1},
author = {Andrés Navas},
journal= {arXiv preprint arXiv:1208.4815},
year = {2019}
}
Comments
Final version, to appear in Compositio Mathematica, in French