{
  "id": "1001.1562",
  "version": "v1",
  "published": "2010-01-10T22:10:50.000Z",
  "updated": "2010-01-10T22:10:50.000Z",
  "title": "A complete $g$-vector for convex polytopes",
  "authors": [
    "Jonathan Fine"
  ],
  "comment": "3 pages. LaTeX",
  "categories": [
    "math.CO",
    "math.KT"
  ],
  "abstract": "We define an extension of the toric (middle perversity intersection homology) $g$-vector of a convex polytope $X$. The extended $g(X)$ encodes the whole of the flag vector $f(X)$ of $X$, and so is called complete. We find that for many examples that $g_k(X)\\geq 0$ for most $k$ (independent of $X$).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-01-10T22:10:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B11",
      "55N33"
    ],
    "keywords": [
      "convex polytope",
      "middle perversity intersection homology",
      "flag vector",
      "independent"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 3,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1001.1562F"
    }
  }
}