{
  "id": "2210.16903",
  "version": "v1",
  "published": "2022-10-30T17:58:25.000Z",
  "updated": "2022-10-30T17:58:25.000Z",
  "title": "On Gelfand and MacPherson's combinatorial formula for Pontrjagin classes",
  "authors": [
    "Olakunle Abawonse",
    "Laura Anderson"
  ],
  "comment": "35 pages, 9 figures",
  "categories": [
    "math.AT",
    "math.CO",
    "math.DG"
  ],
  "abstract": "In 1992 Gelfand and MacPherson gave a local and combinatorial formula for the Pontrjagin classes of a differential manifold. We give an expanded version of their discussion and highlight the origins of combinatorial differential manifolds in their work.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-10-30T17:58:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B35",
      "52C40",
      "55R40",
      "57R20"
    ],
    "keywords": [
      "macphersons combinatorial formula",
      "pontrjagin classes",
      "combinatorial differential manifolds",
      "macpherson gave",
      "expanded version"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}