{
  "id": "1203.3238",
  "version": "v1",
  "published": "2012-03-14T23:55:18.000Z",
  "updated": "2012-03-14T23:55:18.000Z",
  "title": "Concordance groups of links",
  "authors": [
    "Andrew Donald",
    "Brendan Owens"
  ],
  "comment": "21 pages, 6 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We define a notion of concordance based on Euler characteristic, and show that it gives rise to a concordance group of links in the three-sphere, which has the concordance group of knots as a direct summand with infinitely generated complement. We consider variants of this using oriented and nonoriented surfaces as well as smooth and locally flat embeddings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-14T23:55:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "concordance group",
      "direct summand",
      "euler characteristic",
      "locally flat embeddings",
      "three-sphere"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.3238D"
    }
  }
}