{
  "id": "math/0605467",
  "version": "v1",
  "published": "2006-05-17T09:16:17.000Z",
  "updated": "2006-05-17T09:16:17.000Z",
  "title": "On the power structure over the Grothendieck ring of varieties and its applications",
  "authors": [
    "S. M. Gusein-Zade",
    "I. Luengo",
    "A. Melle-Hernandez"
  ],
  "comment": "18 pages",
  "categories": [
    "math.AG",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We discuss the notion of a power structure over a ring and the geometric description of the power structure over the Grothendieck ring of complex quasi-projective varieties and show some examples of applications to generating series of classes of configuration spaces (for example, nested Hilbert schemes of J. Cheah) and wreath product orbifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-05-17T09:16:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14C05",
      "14G10"
    ],
    "keywords": [
      "power structure",
      "grothendieck ring",
      "applications",
      "wreath product orbifolds",
      "geometric description"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......5467G"
    }
  }
}