{ "id": "1305.6542", "version": "v1", "published": "2013-05-28T15:49:51.000Z", "updated": "2013-05-28T15:49:51.000Z", "title": "Surfaces in 4-manifolds: Concordance, Isotopy, and Surgery", "authors": [ "Nathan Sunukjian" ], "categories": [ "math.GT" ], "abstract": "In this paper we will show that two surfaces of the same genus and homology class in a simply connected 4-manifold are concordant. We will show they are often topologically isotopic when their complements have cyclic fundamental group. Finally, we will show that if they are 0-concordant, then surgery on one is equivalent to surgery on the other.", "revisions": [ { "version": "v1", "updated": "2013-05-28T15:49:51.000Z" } ], "analyses": { "keywords": [ "concordance", "cyclic fundamental group", "homology class", "concordant" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1305.6542S" } } }