{ "id": "math/0211019", "version": "v1", "published": "2002-11-01T15:51:10.000Z", "updated": "2002-11-01T15:51:10.000Z", "title": "On diffeomorphisms over surfaces trivially embedded in the 4-sphere", "authors": [ "Susumu Hirose" ], "comment": "Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-33.abs.html", "journal": "Algebr. Geom. Topol. 2 (2002) 791-824", "categories": [ "math.GT" ], "abstract": "A surface in the 4-sphere is trivially embedded, if it bounds a 3-dimensional handle body in the 4-sphere. For a surface trivially embedded in the 4-sphere, a diffeomorphism over this surface is extensible if and only if this preserves the Rokhlin quadratic form of this embedded surface.", "revisions": [ { "version": "v1", "updated": "2002-11-01T15:51:10.000Z" } ], "analyses": { "subjects": [ "57N10", "57N05", "20F38" ], "keywords": [ "diffeomorphism", "rokhlin quadratic form", "handle body" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }