{
  "id": "1001.1538",
  "version": "v3",
  "published": "2010-01-10T17:18:50.000Z",
  "updated": "2011-05-07T16:43:13.000Z",
  "title": "Topologically slice knots with nontrivial Alexander polynomial",
  "authors": [
    "Matthew Hedden",
    "Charles Livingston",
    "Daniel Ruberman"
  ],
  "comment": "27 pages, 7 figures. Clarified discussion of Spinc structures; fixed some typos",
  "journal": "Adv. in Math. 231 (2012), 913-939",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let C_T be the subgroup of the smooth knot concordance group generated by topologically slice knots and let C_D be the subgroup generated by knots with trivial Alexander polynomial. We prove the quotient C_T/C_D is infinitely generated, and uncover similar structure in the 3-dimensional rational spin bordism group. Our methods also lead to the construction of links that are topologically, but not smoothly, concordant to boundary links.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2011-05-07T16:43:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "topologically slice knots",
      "nontrivial alexander polynomial",
      "rational spin bordism group",
      "smooth knot concordance group",
      "uncover similar structure"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Adv. Math."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.1538H"
    }
  }
}