{
  "id": "0811.1245",
  "version": "v1",
  "published": "2008-11-08T01:42:20.000Z",
  "updated": "2008-11-08T01:42:20.000Z",
  "title": "Metrics of positive scalar curvature and generalised Morse functions, part 1",
  "authors": [
    "Mark Walsh"
  ],
  "comment": "81 pages, 61 figures",
  "categories": [
    "math.DG",
    "math.AT"
  ],
  "abstract": "It is well known that isotopic metrics of positive scalar curvature are concordant. Whether or not the converse holds is an open question, at least in dimensions greater than four. We show that for a particular type of concordance, constructed using the surgery techniques of Gromov and Lawson, this converse holds in the case of closed simply connected manifolds of dimension at least five.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-08T01:42:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J53",
      "53C20"
    ],
    "keywords": [
      "positive scalar curvature",
      "generalised morse functions",
      "converse holds",
      "surgery techniques",
      "isotopic metrics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 81,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.1245W"
    }
  }
}