{
  "id": "0910.2114",
  "version": "v2",
  "published": "2009-10-12T09:25:49.000Z",
  "updated": "2011-07-14T22:04:11.000Z",
  "title": "Metrics of positive scalar curvature and generalised Morse functions, part II",
  "authors": [
    "Mark Walsh"
  ],
  "comment": "49 pages, 36 figures. This is a substantial revision of the previous version, containing a number of new results",
  "categories": [
    "math.DG",
    "math.AT"
  ],
  "abstract": "The surgery technique of Gromov and Lawson may be used to construct families of positive scalar curvature metrics which are parameterised by Morse functions. This has played an important role in the study of the space of metrics of positive scalar curvature on a smooth manifold and its corresponding moduli spaces. In this paper, we extend this technique to work for families of generalised Morse functions, i.e. smooth functions with both Morse and birth-death singularities.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-07-14T22:04:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalised morse functions",
      "positive scalar curvature metrics",
      "birth-death singularities",
      "smooth functions",
      "construct families"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 49,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0910.2114W"
    }
  }
}