{
  "id": "1604.07466",
  "version": "v1",
  "published": "2016-04-25T22:37:11.000Z",
  "updated": "2016-04-25T22:37:11.000Z",
  "title": "Concordance and sotopy of metrics with positive scalar curvature, II",
  "authors": [
    "Boris Botvinnik"
  ],
  "comment": "There are 36 pages and 6 pictures",
  "categories": [
    "math.DG",
    "math.AT",
    "math.GT"
  ],
  "abstract": "There was an error in the paper Concordance and isotopy of metrics of positive scalar curvature, [3], see [4], which damaged the proof of [3, Theorem 2.9], and, consequently, the proof of [3, Theorem A]. In this article we prove Theorem 2.9 from [3], and this completes the proof of [3, Theorem A]. In particular, it implies that for a simply connected manifold $M$ with $\\dim M\\geq 5$, psc-metrics $g_0$, $g_1$ are psc-isotopic if and only if they are psc-concordant.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-04-25T22:37:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C27",
      "57R65",
      "58J05",
      "58J50"
    ],
    "keywords": [
      "positive scalar curvature",
      "paper concordance",
      "psc-concordant",
      "simply connected manifold",
      "psc-metrics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160407466B"
    }
  }
}