{
  "id": "math/0411431",
  "version": "v1",
  "published": "2004-11-19T10:45:12.000Z",
  "updated": "2004-11-19T10:45:12.000Z",
  "title": "Splitting formulae for the Kontsevich-Kuperberg-Thurston invariant of rational homology 3-spheres",
  "authors": [
    "Christine Lescop"
  ],
  "comment": "LaTex, 60 pages, 3 eps figures, uses pstricks. Second version of Prepub. Institut Fourier 656 (Minor modifications in the abstract and in the introduction.)",
  "categories": [
    "math.GT"
  ],
  "abstract": "M. Kontsevich proposed a topological construction for an invariant Z of rational homology 3-spheres using configuration space integrals. G. Kuperberg and D. Thurston proved that Z is a universal real finite type invariant for integral homology spheres in the sense of Ohtsuki, Habiro and Goussarov. We discuss the behaviour of Z under rational homology handlebodies replacements. The explicit formulae that we present generalize a sum formula obtained by the author for the Casson-Walker invariant in 1994. They allow us to identify the degree one term of Z with the Walker invariant for rational homology spheres.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-11-19T10:45:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27",
      "55R80",
      "57N10",
      "57R20"
    ],
    "keywords": [
      "kontsevich-kuperberg-thurston invariant",
      "splitting formulae",
      "universal real finite type invariant",
      "rational homology handlebodies replacements",
      "configuration space integrals"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 60,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....11431L"
    }
  }
}