{
  "id": "0906.4693",
  "version": "v1",
  "published": "2009-06-25T13:48:54.000Z",
  "updated": "2009-06-25T13:48:54.000Z",
  "title": "On the continuous cohomology of diffeomorphism groups",
  "authors": [
    "M. V. Losik"
  ],
  "comment": "18 pages",
  "categories": [
    "math.DG",
    "math.AT"
  ],
  "abstract": "Suppose that $M$ is a connected orientable $n$-dimensional manifold and $m>2n$. If $H^i(M,\\R)=0$ for $i>0$, it is proved that for each $m$ there is a monomorphism $H^m(W_n,\\on{O}(n))\\to H^m_{\\on{cont}}(\\on{Diff}M,\\R)$. If $M$ is closed and oriented, it is proved that for each $m$ there is a monomorphism $H^m(W_n,\\on{O}(n))\\to H^{m-n}_{\\on{cont}}(\\on{Diff}_+M,\\R)$, where $\\on{Diff}_+M$ is a group of preserving orientation diffeomorphisms of $M$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-25T13:48:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E41",
      "58D05"
    ],
    "keywords": [
      "diffeomorphism groups",
      "continuous cohomology",
      "dimensional manifold"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.4693L"
    }
  }
}