{ "id": "math/0008185", "version": "v1", "published": "2000-08-24T07:42:26.000Z", "updated": "2000-08-24T07:42:26.000Z", "title": "Action of the mapping class group on a complex of curves and a presentation for the mapping class group of a surface", "authors": [ "Susumu Hirose" ], "comment": "29 pages, 4 figures", "journal": "Title has been changed to \"A complex of curves and a presentation for the mapping class group of a surface\", and published in Osaka J. of Math., 39 (2002), 795--820", "categories": [ "math.GT" ], "abstract": "S. Gervais gave a finite presentation for the mapping class group of a surface (math.GT/9811162). We show this presentation without using Wajnryb's simple presentation. We use a complex of curves defined by Harvey, in place of Hatcher and Thurston's complex.", "revisions": [ { "version": "v1", "updated": "2000-08-24T07:42:26.000Z" } ], "analyses": { "subjects": [ "57M99", "20F05" ], "keywords": [ "mapping class group", "wajnrybs simple presentation", "gervais gave", "thurstons complex", "finite presentation" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 29, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2000math......8185H" } } }