{
  "id": "1109.6878",
  "version": "v1",
  "published": "2011-09-30T16:23:32.000Z",
  "updated": "2011-09-30T16:23:32.000Z",
  "title": "Cobordism Invariance of the Homotopy Type of the Space of Positive Scalar Curvature Metrics",
  "authors": [
    "Mark Walsh"
  ],
  "comment": "10 pages, 3 figures",
  "categories": [
    "math.DG",
    "math.AT"
  ],
  "abstract": "We show that the homotopy type of the space of metrics of positive scalar curvature on a smooth manifold remains unchanged, after application of surgery in codimension at least three to the underlying manifold. This result is originally due to V. Chernysh, but remains unpublished.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-09-30T16:23:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "positive scalar curvature metrics",
      "homotopy type",
      "cobordism invariance",
      "smooth manifold remains"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1109.6878W"
    }
  }
}