{
  "id": "1301.3733",
  "version": "v2",
  "published": "2013-01-16T15:54:43.000Z",
  "updated": "2013-09-26T13:12:10.000Z",
  "title": "Homology classes of negative square and embedded surfaces in 4-manifolds",
  "authors": [
    "M. J. D. Hamilton"
  ],
  "comment": "7 pages; to appear in Bull. Lond. Math. Soc",
  "journal": "Bull. London Math. Soc. 45 (2013) 1221-1226",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let X be a simply-connected closed oriented 4-manifold and A an embedded surface of genus g and negative self-intersection -N. We show that for fixed genus g there is an upper bound on N if the homology class of A is divisible or characteristic. In particular, for genus zero, there is a lower bound on the self-intersection of embedded spheres in these kinds of homology classes. This question is related to a problem from the Kirby list.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-26T13:12:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R95",
      "57N13",
      "57R57"
    ],
    "keywords": [
      "homology classes",
      "embedded surface",
      "negative square",
      "kirby list",
      "self-intersection"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.3733H"
    }
  }
}