{
  "id": "1002.2368",
  "version": "v1",
  "published": "2010-02-11T16:13:46.000Z",
  "updated": "2010-02-11T16:13:46.000Z",
  "title": "Motivic connective K-theories and the cohomology of A(1)",
  "authors": [
    "Daniel C. Isaksen",
    "Armira Shkembi"
  ],
  "categories": [
    "math.AT",
    "math.KT"
  ],
  "abstract": "We make some computations in stable motivic homotopy theory over Spec \\mathbb{C}, completed at 2. Using homotopy fixed points and the algebraic K-theory spectrum, we construct a motivic analogue of the real K-theory spectrum KO. We also establish a theory of connective covers to obtain a motivic version of ko. We establish an Adams spectral sequence for computing motivic ko-homology. The E_2-term of this spectral sequence involves Ext groups over the subalgebra A(1) of the motivic Steenrod algebra. We make several explicit computations of these E_2-terms in interesting special cases.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-11T16:13:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F42",
      "55N15",
      "55T15"
    ],
    "keywords": [
      "motivic connective k-theories",
      "cohomology",
      "real k-theory spectrum ko",
      "stable motivic homotopy theory",
      "motivic steenrod algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.2368I"
    }
  }
}