Livsic theorem for diffeomorphism cocycles
Dynamical Systems
2018-05-08 v2
Abstract
We prove the so called Liv\v{s}ic theorem for cocycles taking values in the group of $C^{1+\beta}-diffeomorphisms of any closed manifold of arbitrary dimension. Since no localization hypothesis is assumed, this result is completely global in the space of cocycles and thus extends the previous result of the second author and Potrie [KP16] to higher dimensions.
Cite
@article{arxiv.1711.02135,
title = {Livsic theorem for diffeomorphism cocycles},
author = {Artur Avila and Alejandro Kocsard and Xiao-Chuan Liu},
journal= {arXiv preprint arXiv:1711.02135},
year = {2018}
}
Comments
17 pages. Revised version after referee report. To appear in GAFA