{ "id": "math/0204077", "version": "v2", "published": "2002-04-06T10:04:47.000Z", "updated": "2003-07-10T15:09:44.000Z", "title": "Period three actions on the three-sphere", "authors": [ "Joseph Maher", "J. Hyam Rubinstein" ], "comment": "Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol7/paper11.abs.html", "journal": "Geometry and Topology 7 (2003)329-397", "categories": [ "math.GT" ], "abstract": "We show that a free period three action on the three-sphere is standard, i.e. the quotient is homeomorphic to a lens space. We use a minimax argument involving sweepouts.", "revisions": [ { "version": "v2", "updated": "2003-07-10T15:09:44.000Z" } ], "analyses": { "subjects": [ "57M60", "57M50" ], "keywords": [ "three-sphere", "free period", "lens space" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }