Partially hyperbolic dynamics and 3-manifold topology
Dynamical Systems
2021-01-19 v2 Geometric Topology
Abstract
This is an expository note intended to illustrate current research in topological study of partially hyperbolic diffeomorphisms in dimension 3 with a beautiful result due to Margulis and Plante-Thurston on topological obstructions for a manifold to admit an Anosov flow.
Cite
@article{arxiv.2005.10889,
title = {Partially hyperbolic dynamics and 3-manifold topology},
author = {Rafael Potrie},
journal= {arXiv preprint arXiv:2005.10889},
year = {2021}
}
Comments
10 pages, 4 figures. To appear in Notices of the AMS