{
  "id": "math/0507277",
  "version": "v4",
  "published": "2005-07-13T23:25:20.000Z",
  "updated": "2006-05-13T12:02:10.000Z",
  "title": "Nested complexes and their polyhedral realizations",
  "authors": [
    "Andrei Zelevinsky"
  ],
  "comment": "v2: 14 pages, 1 figure; historical account in the introduction modified, Section 5 reorganized, Corollary 5.2 supplied with a self-contained proof; v3: minor editorial changes, Proposition 7.2 supplied with a proof; v4: a few typos fixed, one reference updated, final version, to appear in Pure and Applied Mathematics Quarterly",
  "journal": "Pure and Applied Mathematics Quarterly, 2 (2006), no. 3, 1-17",
  "categories": [
    "math.CO"
  ],
  "abstract": "This note which can be viewed as a complement to Alex Postnikov's paper math.CO/0507163, presents a self-contained overview of basic properties of nested complexes and their two dual polyhedral realizations: as complete simplicial fans, and as simple polytopes. Most of the results are not new; our aim is to bring into focus a striking similarity between nested complexes and associated fans and polytopes on one side, and cluster complexes and generalized associahedra introduced and studied in hep-th/0111053, math.CO/0202004, on the other side.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2006-05-13T12:02:10.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nested complexes",
      "alex postnikovs paper math",
      "dual polyhedral realizations",
      "complete simplicial fans",
      "cluster complexes"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......7277Z"
    }
  }
}