{
  "id": "1311.1863",
  "version": "v1",
  "published": "2013-11-08T01:45:21.000Z",
  "updated": "2013-11-08T01:45:21.000Z",
  "title": "An invariant of rational homology 3-spheres via vector fields",
  "authors": [
    "Tatsuro Shimizu"
  ],
  "comment": "27 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "We define an invariant of rational homology 3-spheres via vector fields. The construction of our invariant is a generalization of both that of the Kontsevich-Kuperberg-Thurston invariant and that of Watanabe's Morse homotopy invariant, which implies the equivalence of these two invariants.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-08T01:45:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M27"
    ],
    "keywords": [
      "rational homology",
      "vector fields",
      "watanabes morse homotopy invariant",
      "kontsevich-kuperberg-thurston invariant",
      "generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.1863S"
    }
  }
}