{
  "id": "1108.2168",
  "version": "v1",
  "published": "2011-08-10T12:59:18.000Z",
  "updated": "2011-08-10T12:59:18.000Z",
  "title": "On the cobordism groups of cooriented, codimension one Morin maps",
  "authors": [
    "András Szűcs"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GT",
    "math.AT"
  ],
  "abstract": "Cobordism groups of cooriented fold maps of codimension 1 are computed completely. Namely their odd torsion part coincides with that of the stable homotopy group of spheres in the same dimension, while the 2-primary part is the kernel of the Kahn-Priddy map. (The Kahn-Priddy map is an epimorhism of the stable homotopy group of the infinite dimensional real projective space onto the 2-primary part of the stable homotopy group of spheres). Analogous results - modulo small primes - are obtained for cusp maps and more complicated Morin maps as well.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-08-10T12:59:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R45",
      "55P42",
      "57R42",
      "55P15"
    ],
    "keywords": [
      "morin maps",
      "cobordism groups",
      "stable homotopy group",
      "codimension",
      "kahn-priddy map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1108.2168S"
    }
  }
}