{
  "id": "math/9911024",
  "version": "v2",
  "published": "1999-11-04T09:25:59.000Z",
  "updated": "2001-05-23T08:22:36.000Z",
  "title": "Localization of the Riemann-Roch character",
  "authors": [
    "Paul-Emile Paradan"
  ],
  "comment": "revised version, 55 pages",
  "categories": [
    "math.DG",
    "math.KT",
    "math.SG"
  ],
  "abstract": "We present a K-theoritic approach to the Guillemin-Sternberg conjecture, about the commutativity of geometric quantization and symplectic reduction, which was proved by Meinrenken and Tian-Zhang. Besides providing a new proof of this conjecture for the full non-abelian group action case, our methods lead to a generalisation for compact Lie group actions on manifolds that are not symplectic. Instead, these manifolds carry an invariant almost complex structure and an abstract moment map.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2001-05-23T08:22:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "riemann-roch character",
      "full non-abelian group action case",
      "localization",
      "compact lie group actions",
      "abstract moment map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 55,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math.....11024P"
    }
  }
}