{
  "id": "1207.0595",
  "version": "v2",
  "published": "2012-07-03T07:54:53.000Z",
  "updated": "2013-10-24T17:19:17.000Z",
  "title": "Stratifications of inertia spaces of compact Lie group actions",
  "authors": [
    "Carla Farsi",
    "Markus J. Pflaum",
    "Christopher Seaton"
  ],
  "comment": "36 pages",
  "categories": [
    "math.DG",
    "math.AT"
  ],
  "abstract": "We study the topology of the inertia space of a smooth $G$-manifold $M$ where $G$ is a compact Lie group. We construct an explicit Whitney stratification of the inertia space, demonstrating that the inertia space is a triangulable differentiable stratified space. In addition, we demonstrate a de Rham theorem for differential forms defined on the inertia space with respect to this stratification.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-10-24T17:19:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57S15",
      "58A35",
      "22C05",
      "32S60",
      "57R18"
    ],
    "keywords": [
      "inertia space",
      "compact lie group actions",
      "explicit whitney stratification",
      "rham theorem",
      "differential forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1207.0595F"
    }
  }
}