{
  "id": "1210.7031",
  "version": "v3",
  "published": "2012-10-26T00:58:12.000Z",
  "updated": "2014-05-07T21:34:01.000Z",
  "title": "The rational homotopy of the K(2)-local sphere and the chromatic splitting conjecture for the prime 3 and level 2",
  "authors": [
    "Paul G. Goerss",
    "Hans-Werner Henn",
    "Mark Mahowald"
  ],
  "categories": [
    "math.AT"
  ],
  "abstract": "We calculate the rational homotopy and the K(1)-local homotopy of the K(2)-local sphere at the prime 3 and level 2. We use this to verify the chromatic splitting conjecture in this case.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-05-07T21:34:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55Q45"
    ],
    "keywords": [
      "chromatic splitting conjecture",
      "rational homotopy"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1210.7031G"
    }
  }
}