{
  "id": "2301.11449",
  "version": "v1",
  "published": "2023-01-26T22:47:30.000Z",
  "updated": "2023-01-26T22:47:30.000Z",
  "title": "A realization of poset associahedra",
  "authors": [
    "Andrew Sack"
  ],
  "comment": "13 pages, 7 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "Given any connected poset $P$, we give a simple realization of Galashin's poset associahedron $\\mathscr{A}(P)$ as a convex polytope in $\\mathbb{R}^P.$ The realization is inspired by the description of $\\mathscr{A}(P)$ as a compactification of the configuration space of order-preserving maps $P \\to \\mathbb{R}.$ In addition, we give an analogous realization for Galashin's affine poset cyclohedra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-01-26T22:47:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B11",
      "05E99",
      "06A07",
      "54D35"
    ],
    "keywords": [
      "galashins affine poset cyclohedra",
      "galashins poset associahedron",
      "simple realization",
      "configuration space",
      "convex polytope"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}