{
  "id": "math/0210231",
  "version": "v2",
  "published": "2002-10-16T19:01:50.000Z",
  "updated": "2017-06-26T16:13:20.000Z",
  "title": "Biquotients with singly generated rational cohomology",
  "authors": [
    "Vitali Kapovitch",
    "Wolfgang Ziller"
  ],
  "comment": "A missing homogeneous example added in Theorem A, as was pointed out by Jason DeVito",
  "journal": "Geometriae Dedicata, 104 (1), pp 149--160, 2004",
  "categories": [
    "math.DG",
    "math.AT"
  ],
  "abstract": "We classify all biquotients whose rational cohomology rings are generated by one element. As a consequence we show that the Gromoll-Meyer 7-sphere is the only exotic sphere which can be written as a biquotient.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-10-16T19:01:50.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2017-06-26T16:13:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53C20"
    ],
    "keywords": [
      "singly generated rational cohomology",
      "biquotient",
      "rational cohomology rings",
      "exotic sphere",
      "consequence"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....10231K"
    }
  }
}