On the projective derivative cocycle for circle diffeomorphisms
Dynamical Systems
2020-12-15 v1 Differential Geometry
Group Theory
Geometric Topology
Abstract
We study the projective derivative as a cocycle of M\"obius transformations over groups of circle diffeomorphisms. By computing precise expressions for this cocycle, we obtain several results about reducibility and almost reducibility to a cocycle of rotations. We also introduce an extension of this cocycle to the diagonal action on the 3-torus for which we generalize the previous results.
Keywords
Cite
@article{arxiv.2012.07625,
title = {On the projective derivative cocycle for circle diffeomorphisms},
author = {Andrés Navas and Mario Ponce},
journal= {arXiv preprint arXiv:2012.07625},
year = {2020}
}
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17 pages