{
  "id": "1902.10097",
  "version": "v1",
  "published": "2019-02-26T18:28:52.000Z",
  "updated": "2019-02-26T18:28:52.000Z",
  "title": "Mapping class groups of highly connected $(4k+2)$-manifolds",
  "authors": [
    "Manuel Krannich"
  ],
  "comment": "30 pages",
  "categories": [
    "math.AT",
    "math.GT"
  ],
  "abstract": "We compute the mapping class group of the manifolds $\\sharp^g(S^{2k+1}\\times S^{2k+1})$ for $k>0$ in terms of the automorphism group of the middle homology and the group of homotopy $(4k+3)$-spheres. We furthermore identify its Torelli subgroup, determine the abelianisations, and relate our results to the group of homotopy equivalences of these manifolds.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-26T18:28:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R50",
      "55N22",
      "57R60",
      "11F75",
      "20J06"
    ],
    "keywords": [
      "mapping class group",
      "middle homology",
      "homotopy equivalences",
      "torelli subgroup",
      "automorphism group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}