{
  "id": "math/0611440",
  "version": "v1",
  "published": "2006-11-14T21:08:58.000Z",
  "updated": "2006-11-14T21:08:58.000Z",
  "title": "Decomposition theorem for the cd-index of Gorenstein* posets",
  "authors": [
    "Richard Ehrenborg",
    "Kalle Karu"
  ],
  "comment": "22 pages, submitted to Journal of Algebraic Combinatorics",
  "categories": [
    "math.CO",
    "math.AG"
  ],
  "abstract": "We prove a decomposition theorem for the cd-index of a Gorenstein* poset analogous to the decomposition theorem for the intersection cohomology of a toric variety. From this we settle a conjecture of Stanley that the cd-index of Gorenstein* lattices is minimized on Boolean algebras.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-14T21:08:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C07",
      "52B05",
      "14F43"
    ],
    "keywords": [
      "decomposition theorem",
      "boolean algebras",
      "intersection cohomology",
      "toric variety"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11440E"
    }
  }
}