Schwartzman cycles and ergodic solenoids
Differential Geometry
2009-10-16 v1 Dynamical Systems
Abstract
We extend Schwartzman theory beyond dimension 1 and provide a unified treatment of Ruelle-Sullivan and Schwartzman theories via Birkhoff's ergodic theorem for the class of immersions of solenoids with a trapping region.
Cite
@article{arxiv.0910.2837,
title = {Schwartzman cycles and ergodic solenoids},
author = {Vicente Muñoz and Ricardo Perez-Marco},
journal= {arXiv preprint arXiv:0910.2837},
year = {2009}
}
Comments
32 pages. We have divided the former preprint arXiv:math/0702501 into three parts. This paper corresponds to the second part