{
  "id": "1209.1587",
  "version": "v1",
  "published": "2012-09-07T16:58:50.000Z",
  "updated": "2012-09-07T16:58:50.000Z",
  "title": "Characteristic rank of vector bundles over Stiefel manifolds",
  "authors": [
    "Július Korbaš",
    "Aniruddha C. Naolekar",
    "Ajay Singh Thakur"
  ],
  "journal": "Archiv der Mathematik: Volume 99, Issue 6 (2012), Page 577-581",
  "doi": "10.1007/s00013-012-0454-3",
  "categories": [
    "math.AT"
  ],
  "abstract": "The characteristic rank of a vector bundle $\\xi$ over a finite connected $CW$-complex $X$ is by definition the largest integer $k$, $0\\leq k\\leq \\mathrm{dim}(X)$, such that every cohomology class $x\\in H^j(X;\\mathbb Z_2)$, $0\\leq j\\leq k$, is a polynomial in the Stiefel-Whitney classes $w_i(\\xi)$. In this note we compute the characteristic rank of vector bundles over the Stiefel manifold $V_k(\\mathbb F^n)$, $\\mathbb F=\\mathbb R,\\mathbb C,\\mathbb H$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-09-07T16:58:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R20",
      "57T15"
    ],
    "keywords": [
      "vector bundle",
      "characteristic rank",
      "stiefel manifold",
      "largest integer",
      "cohomology class"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1209.1587K"
    }
  }
}