{
  "id": "1612.01665",
  "version": "v1",
  "published": "2016-12-06T05:11:55.000Z",
  "updated": "2016-12-06T05:11:55.000Z",
  "title": "The first Pontrjagin classes of homotopy complex projective spaces",
  "authors": [
    "Yasuhiko Kitada",
    "Maki Nagura"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let $M^{2n}$ be a closed smooth manifold homotopy equivalent to the complex projective space $\\mathbb{C}P(n)$. The purpose of this paper is to show that when $n$ is even, the difference of the first Pontrjagin classes between $M^{2n}$ and $\\mathbb{C}P(n)$ is divisible by 16.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-12-06T05:11:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R20",
      "57R55",
      "57R67"
    ],
    "keywords": [
      "first pontrjagin classes",
      "homotopy complex projective spaces",
      "closed smooth manifold homotopy equivalent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}