{ "id": "1109.6048", "version": "v2", "published": "2011-09-27T21:48:51.000Z", "updated": "2012-05-03T15:03:14.000Z", "title": "Filling loops at infinity in the mapping class group", "authors": [ "Aaron Abrams", "Noel Brady", "Pallavi Dani", "Moon Duchin", "Robert Young" ], "comment": "7 pages, 2 figures; this note presents a result which was contained in an earlier version of \"Pushing fillings in right-angled Artin groups\" (arXiv:1004.4253) but is independent of the techniques in that paper", "categories": [ "math.GR" ], "abstract": "We study the Dehn function at infinity in the mapping class group, finding a polynomial upper bound of degree four. This is the same upper bound that holds for arbitrary right-angled Artin groups.", "revisions": [ { "version": "v2", "updated": "2012-05-03T15:03:14.000Z" } ], "analyses": { "subjects": [ "20F65" ], "keywords": [ "mapping class group", "filling loops", "arbitrary right-angled artin groups", "polynomial upper bound", "dehn function" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1109.6048A" } } }