{
  "id": "0903.5217",
  "version": "v1",
  "published": "2009-03-30T16:44:49.000Z",
  "updated": "2009-03-30T16:44:49.000Z",
  "title": "The cohomology of motivic A(2)",
  "authors": [
    "Daniel C. Isaksen"
  ],
  "categories": [
    "math.AT",
    "math.KT"
  ],
  "abstract": "Working over an algebraically closed field of characteristic zero, we compute the cohomology of the subalgebra A(2) of the motivic Steenrod algebra that is generated by Sq^1, Sq^2, and Sq^4. The method of calculation is a motivic version of the May spectral sequence. Speculatively assuming that there is a \"motivic modular forms\" spectrum with certain properties, we use an Adams-Novikov spectral sequence to compute the homotopy of such a spectrum at the prime 2.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-03-30T16:44:49.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55H15"
    ],
    "keywords": [
      "cohomology",
      "adams-novikov spectral sequence",
      "motivic modular forms",
      "motivic steenrod algebra",
      "characteristic zero"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.5217I"
    }
  }
}