{
  "id": "math/0307077",
  "version": "v4",
  "published": "2003-07-06T21:27:57.000Z",
  "updated": "2004-11-26T15:15:40.000Z",
  "title": "A survey of classical knot concordance",
  "authors": [
    "Charles Livingston"
  ],
  "comment": "25 pages, 2 figures. Minor typographical changes",
  "categories": [
    "math.GT"
  ],
  "abstract": "This is survey about the classical knot concordance group, prepared for an upcoming handbook of knot theory. Topics include: the basic definitions of concordance; the theory of algebraic concordance as developed by Levine; the theory of Casson-Gordon invariants; applications of topological surgery as developed by Freedman; smooth results based on differential geometric techniques such as those of Donaldson; the filtration of the concordance group as developed by Cochran, Orr, and Teichner; and relations to classical 3-dimensional knot theory. There is also a short problem list.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2004-11-26T15:15:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "knot theory",
      "classical knot concordance group",
      "differential geometric techniques",
      "short problem list",
      "smooth results"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......7077L"
    }
  }
}