{ "id": "1208.3983", "version": "v1", "published": "2012-08-20T11:36:17.000Z", "updated": "2012-08-20T11:36:17.000Z", "title": "Convergence properties of end invariants", "authors": [ "Jeffrey F. Brock", "Kenneth W. Bromberg", "Richard D. Canary", "Yair N. Minsky" ], "comment": "40 pages", "categories": [ "math.GT", "math.DG" ], "abstract": "We prove a continuity property for ending invariants of convergent sequences of Kleinian surface groups. We also analyze the bounded curve sets of such groups and show that their projections to non-annular subsurfaces lie a bounded Hausdorff distance from geodesics joining the projections of the ending invariants.", "revisions": [ { "version": "v1", "updated": "2012-08-20T11:36:17.000Z" } ], "analyses": { "subjects": [ "30F40", "57M50" ], "keywords": [ "end invariants", "convergence properties", "ending invariants", "kleinian surface groups", "non-annular subsurfaces lie" ], "note": { "typesetting": "TeX", "pages": 40, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1208.3983B" } } }