{ "id": "1609.02377", "version": "v1", "published": "2016-09-08T11:23:46.000Z", "updated": "2016-09-08T11:23:46.000Z", "title": "Boundaries of Kleinian groups", "authors": [ "Peter Haïssinsky", "Luisa Paoluzzi", "Genevieve Walsh" ], "comment": "16 pages, 3 figures, to appear the the Illinois Journal of Mathematics (special Haken issue)", "categories": [ "math.GT", "math.GR" ], "abstract": "We review the theory of splittings of hyperbolic groups, as determined by the topology of the boundary. We give explicit examples of certain phenomena and then use this to describe limit sets of Kleinian groups up to homeomorphism.", "revisions": [ { "version": "v1", "updated": "2016-09-08T11:23:46.000Z" } ], "analyses": { "subjects": [ "20F67", "30F40", "57N16" ], "keywords": [ "kleinian groups", "explicit examples", "hyperbolic groups", "limit sets" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }