{
  "id": "0804.1418",
  "version": "v5",
  "published": "2008-04-09T06:54:43.000Z",
  "updated": "2013-03-12T18:38:43.000Z",
  "title": "Smooth Yamabe invariant and surgery",
  "authors": [
    "Bernd Ammann",
    "Mattias Dahl",
    "Emmanuel Humbert"
  ],
  "comment": "Suggestions by the referee included. Improved results for 3-dimensional surgery on 6-dimensional manifolds. Version close to published version",
  "journal": "J. Differential Geom. Volume 94, Number 1 (2013), 1-58",
  "categories": [
    "math.DG"
  ],
  "abstract": "We prove a surgery formula for the smooth Yamabe invariant $\\sigma(M)$ of a compact manifold $M$. Assume that $N$ is obtained from $M$ by surgery of codimension at least 3. We prove the existence of a positive number $\\Lambda_n$, depending only on the dimension $n$ of $M$, such that $$ \\sigma(N) \\geq \\min{\\sigma(M),\\Lambda_n}. $$",
  "revisions": [
    {
      "version": "v5",
      "updated": "2013-03-12T18:38:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35J60",
      "35P30",
      "57R65",
      "58J50",
      "58C40"
    ],
    "keywords": [
      "smooth yamabe invariant",
      "surgery formula",
      "compact manifold",
      "codimension"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.1418A"
    }
  }
}