{ "id": "0910.2038", "version": "v1", "published": "2009-10-11T20:28:31.000Z", "updated": "2009-10-11T20:28:31.000Z", "title": "Automorphisms of the disk complex", "authors": [ "Mustafa Korkmaz", "Saul Schleimer" ], "comment": "19 pages, 2 figures", "categories": [ "math.GT" ], "abstract": "We show that the automorphism group of the disk complex is isomorphic to the handlebody group. Using this, we prove that the outer automorphism group of the handlebody group is trivial.", "revisions": [ { "version": "v1", "updated": "2009-10-11T20:28:31.000Z" } ], "analyses": { "subjects": [ "57M99", "20E36" ], "keywords": [ "disk complex", "handlebody group", "outer automorphism group" ], "note": { "typesetting": "TeX", "pages": 19, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0910.2038K" } } }