{
  "id": "0710.1929",
  "version": "v1",
  "published": "2007-10-10T05:00:34.000Z",
  "updated": "2007-10-10T05:00:34.000Z",
  "title": "Polynomial splittings of metabelian von Neumann rho-invariants",
  "authors": [
    "Se-Goo Kim",
    "Taehee Kim"
  ],
  "comment": "8 pages, 1 figure",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that if the connected sum of two knots with coprime Alexander polynomials has vanishing von Neumann rho-invariants associated with certain metabelian representations then so do both knots. As an application, we give a new example of an infinite family of knots which are linearly independent in the knot concordance group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-10-10T05:00:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57N70"
    ],
    "keywords": [
      "metabelian von neumann rho-invariants",
      "polynomial splittings",
      "knot concordance group",
      "coprime alexander polynomials",
      "vanishing von neumann rho-invariants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0710.1929K"
    }
  }
}