{
  "id": "math/9910148",
  "version": "v1",
  "published": "1999-10-27T14:21:01.000Z",
  "updated": "1999-10-27T14:21:01.000Z",
  "title": "Relative Zeta Determinants and the Quillen Metric",
  "authors": [
    "Simon Scott"
  ],
  "comment": "11 pages",
  "categories": [
    "math.AP",
    "hep-ph",
    "hep-th",
    "math.DG"
  ],
  "abstract": "We compute the relative zeta-function metric on the determinant line bundle for a family of elliptic boundary value problems of Dirac-type. To do this we prove a general formula relating the zeta-determinant to a Fredholm determinant over the boundary for a class of higher-order elliptic boundary value problems.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-10-27T14:21:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58G20",
      "58G26",
      "11S45",
      "81T50"
    ],
    "keywords": [
      "relative zeta determinants",
      "quillen metric",
      "higher-order elliptic boundary value problems",
      "determinant line bundle",
      "zeta-function metric"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 509299,
      "adsabs": "1999math.....10148S"
    }
  }
}