{
  "id": "1309.0618",
  "version": "v2",
  "published": "2013-09-03T08:47:52.000Z",
  "updated": "2013-09-14T08:30:46.000Z",
  "title": "Actions of groups of diffeomorphisms on one-manifolds",
  "authors": [
    "Shigenori Matsumoto"
  ],
  "comment": "This paper is withdrawn because there is a fatal error in the proof of the main theorem",
  "categories": [
    "math.GT"
  ],
  "abstract": "Denote by $\\DC(M)_0$ the identity component of the group of compactly supported $C^\\infty$ diffeomorphisms of a connected $C^\\infty$ manifold $M$, and by $\\HR$ the group of the homeomorphisms of $\\R$. We show that if $M$ is a closed manifold which fibers over $S^m$ ($m\\geq 2$), then any homomorphism from $\\DC(M)_0$ to $\\HR$ is trivial.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-09-14T08:30:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57S05"
    ],
    "keywords": [
      "diffeomorphisms",
      "one-manifolds",
      "identity component"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1309.0618M"
    }
  }
}