{
  "id": "math/9811021",
  "version": "v1",
  "published": "1998-11-04T18:16:10.000Z",
  "updated": "1998-11-04T18:16:10.000Z",
  "title": "Signatures of links and finite type invariants of cyclic branched covers",
  "authors": [
    "Stavros Garoufalidis"
  ],
  "comment": "Latex, 11 pages with 5 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "Recently, Mullins calculated the Casson-Walker invariant of the 2-fold cyclic branched cover of an oriented link in S^3 in terms of its Jones polynomial and its signature, under the assumption that the 2-fold branched cover is a rational homology 3-sphere. Using elementary principles, we provide a similar calculation for the general case. In addition, we calculate the LMO invariant of the p-fold branched cover of twisted knots in S^3 in terms of the Kontsevich integral of the knot.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-11-04T18:16:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cyclic branched cover",
      "finite type invariants",
      "casson-walker invariant",
      "lmo invariant",
      "general case"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math.....11021G"
    }
  }
}