{
  "id": "0903.0699",
  "version": "v4",
  "published": "2009-03-04T06:43:29.000Z",
  "updated": "2012-01-05T02:38:45.000Z",
  "title": "Localizable invariants of combinatorial manifolds and Euler characteristic",
  "authors": [
    "Li Yu"
  ],
  "comment": "14 pages, 5 figures. Some arguments are improved and one picture is added",
  "categories": [
    "math.GT",
    "math.CO"
  ],
  "abstract": "It is shown that if a real value PL-invariant of closed combinatorial manifolds admits a local formula that depends only on the f-vector of the link of each vertex, then the invariant must be a constant times the Euler characteristic.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2012-01-05T02:38:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R05",
      "57R20",
      "57Q99"
    ],
    "keywords": [
      "euler characteristic",
      "localizable invariants",
      "real value pl-invariant",
      "closed combinatorial manifolds admits",
      "local formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.0699Y"
    }
  }
}