{
  "id": "1212.3656",
  "version": "v1",
  "published": "2012-12-15T04:40:04.000Z",
  "updated": "2012-12-15T04:40:04.000Z",
  "title": "The homotopy groups of the spectrum Tmf",
  "authors": [
    "Johan Konter"
  ],
  "comment": "41 pages, 27 figures",
  "categories": [
    "math.AT"
  ],
  "abstract": "We use the structure of the homotopy groups of the connective spectrum tmf of topological modular forms and the elliptic and Adams-Novikov spectral sequences to compute the homotopy groups of the non-connective version, Tmf, of that spectrum. This is done separately for the localizations at 2, 3 and higher primes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-15T04:40:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55N34",
      "55P60",
      "55T15"
    ],
    "keywords": [
      "homotopy groups",
      "adams-novikov spectral sequences",
      "connective spectrum tmf",
      "higher primes",
      "topological modular forms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1212.3656K"
    }
  }
}