Livsic theorem for low-dimensional diffeomorphism cocycles
Dynamical Systems
2014-09-16 v1 Geometric Topology
Abstract
We prove a Livsic type theorem for cocycles taking values in groups of diffeomorphisms of low-dimensional manifolds. The results hold without any localization assumption and in very low regularity. We also obtain a general result (in any dimension) which gives necessary and sufficient conditions to be a coboundary.
Cite
@article{arxiv.1409.4138,
title = {Livsic theorem for low-dimensional diffeomorphism cocycles},
author = {Alejandro Kocsard and Rafael Potrie},
journal= {arXiv preprint arXiv:1409.4138},
year = {2014}
}
Comments
19 pages