{
  "id": "0905.4454",
  "version": "v1",
  "published": "2009-05-27T15:36:02.000Z",
  "updated": "2009-05-27T15:36:02.000Z",
  "title": "Colorings of simplicial complexes and vector bundles over Davis-Januszkiewicz spaces",
  "authors": [
    "Dietrich Notbohm"
  ],
  "comment": "8 pages",
  "categories": [
    "math.AT",
    "math.CO"
  ],
  "abstract": "We show that coloring properties of a simplicial complex K are reflected by splitting properties of a bundle over the associated Davis-Januszkiewicz space whose Chern classes are given by the elementary symmetric polynomials in the generators of the Stanley-Reisner algebra of K.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-05-27T15:36:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "55R10",
      "57R22",
      "05C15"
    ],
    "keywords": [
      "vector bundles",
      "simplicial complexes",
      "elementary symmetric polynomials",
      "associated davis-januszkiewicz space",
      "stanley-reisner algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0905.4454N"
    }
  }
}