{ "id": "math/0505459", "version": "v2", "published": "2005-05-23T16:57:22.000Z", "updated": "2008-01-10T18:49:25.000Z", "title": "Filling hypersurfaces by discs in almost complex manifolds of dimension 2", "authors": [ "Alexandre Sukhov", "Alexander Tumanov" ], "comment": "34 pages", "categories": [ "math.CV" ], "abstract": "We study pseudoholomorphic discs with boundaries attached to a real hypersurface in an almost complex manifold of dimension 2. We prove that if the hypersurface contains no discs, then they fill a one sided neighborhood of the hypersurface.", "revisions": [ { "version": "v2", "updated": "2008-01-10T18:49:25.000Z" } ], "analyses": { "subjects": [ "32H02", "53C15" ], "keywords": [ "complex manifold", "filling hypersurfaces", "study pseudoholomorphic discs", "real hypersurface" ], "note": { "typesetting": "TeX", "pages": 34, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2005math......5459S" } } }