{
  "id": "1606.06491",
  "version": "v1",
  "published": "2016-06-21T09:21:31.000Z",
  "updated": "2016-06-21T09:21:31.000Z",
  "title": "Topologically slice knots that are not smoothly slice in any definite 4-manifold",
  "authors": [
    "Kouki Sato"
  ],
  "comment": "9 pages, 4 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove that there exist infinitely many topologically slice knots which cannot bound a smooth null-homologous disk in any definite 4-manifold. Furthermore, we show that we can take such knots so that they are linearly independent in the the knot concordance group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-21T09:21:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "topologically slice knots",
      "smoothly slice",
      "knot concordance group",
      "smooth null-homologous disk"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}