{ "id": "0804.4789", "version": "v1", "published": "2008-04-30T11:47:49.000Z", "updated": "2008-04-30T11:47:49.000Z", "title": "The abelianization of the level 2 mapping class group", "authors": [ "Masatoshi Sato" ], "comment": "26 pages, 5 figures", "doi": "10.1112/jtopol/jtq026", "categories": [ "math.GT", "math.AT" ], "abstract": "In this paper, we determine the abelianization of the level d mapping class group for d=2 and odd d. We also extend the homomorphism of the Torelli group defined by Heap to a homomorphism of the level 2 mapping class group.", "revisions": [ { "version": "v1", "updated": "2008-04-30T11:47:49.000Z" } ], "analyses": { "subjects": [ "55R40", "57M50" ], "keywords": [ "mapping class group", "abelianization", "homomorphism", "torelli group" ], "tags": [ "journal article" ], "publication": { "journal": "Mathematical Proceedings of the Cambridge Philosophical Society", "year": 2009, "month": "May", "volume": 147, "number": 2, "pages": 369 }, "note": { "typesetting": "TeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009MPCPS.147..369S" } } }