{
  "id": "0801.4429",
  "version": "v1",
  "published": "2008-01-29T05:36:58.000Z",
  "updated": "2008-01-29T05:36:58.000Z",
  "title": "$L^2$-torsion invariants and the Magnus representation of the mapping class group",
  "authors": [
    "Teruaki Kitano",
    "Takayuki Morifuji"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper, we study a series of $L^2$-torsion invariants from the viewpoint of the mapping class group of a surface. We establish some vanishing theorems for them. Moreover we explicitly calculate the first two invariants and compare them with hyperbolic volumes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-01-29T05:36:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57Q10",
      "57M05",
      "58J52"
    ],
    "keywords": [
      "mapping class group",
      "torsion invariants",
      "magnus representation",
      "hyperbolic volumes",
      "vanishing theorems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}