{
  "id": "0707.4332",
  "version": "v2",
  "published": "2007-07-30T13:57:28.000Z",
  "updated": "2008-10-08T07:57:57.000Z",
  "title": "The mapping class group and the Meyer function for plane curves",
  "authors": [
    "Yusuke Kuno"
  ],
  "comment": "24 pages, typo added",
  "journal": "Mathematische Annalen 342, Number 4, pp923-949, 2008",
  "doi": "10.1007/s00208-008-0261-0",
  "categories": [
    "math.GT",
    "math.AG"
  ],
  "abstract": "For each d>=2, the mapping class group for plane curves of degree d will be defined and it is proved that there exists uniquely the Meyer function on this group. In the case of d=4, using our Meyer function, we can define the local signature for 4-dimensional fiber spaces whose general fibers are non-hyperelliptic compact Riemann surfaces of genus 3. Some computations of our local signature will be given.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-10-08T07:57:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57N13",
      "14D05"
    ],
    "keywords": [
      "mapping class group",
      "meyer function",
      "plane curves",
      "local signature",
      "non-hyperelliptic compact riemann surfaces"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0707.4332K"
    }
  }
}