{ "id": "0904.3895", "version": "v2", "published": "2009-04-24T15:43:09.000Z", "updated": "2010-01-03T17:00:26.000Z", "title": "Braids and crossed modules", "authors": [ "Johannes Huebschmann" ], "comment": "18 pages", "journal": "J. of Group Theory 15 (2012), 57-83", "categories": [ "math.AT", "math.GR" ], "abstract": "We describe Artin's braid group on a (fixed) finite number of strings as a crossed module over itself. In particular, we interpret the braid relations as crossed module structure relations.", "revisions": [ { "version": "v2", "updated": "2010-01-03T17:00:26.000Z" } ], "analyses": { "subjects": [ "20F36", "57M05", "57M20", "57M25", "18D50", "18G55", "20C08", "55P48" ], "keywords": [ "artins braid group", "crossed module structure relations", "finite number", "braid relations" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0904.3895H" } } }