{ "id": "2005.10889", "version": "v1", "published": "2020-05-21T20:23:25.000Z", "updated": "2020-05-21T20:23:25.000Z", "title": "Partially hyperbolic dynamics and 3-manifold topology", "authors": [ "Rafael Potrie" ], "comment": "11 pages, 4 figures. Comments welcome", "categories": [ "math.DS", "math.GT" ], "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.", "revisions": [ { "version": "v1", "updated": "2020-05-21T20:23:25.000Z" } ], "analyses": { "keywords": [ "partially hyperbolic dynamics", "illustrate current research", "expository note", "anosov flow", "partially hyperbolic diffeomorphisms" ], "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }