{
  "id": "math/0702837",
  "version": "v1",
  "published": "2007-02-27T15:15:39.000Z",
  "updated": "2007-02-27T15:15:39.000Z",
  "title": "Constructing convex planes in the pants complex",
  "authors": [
    "Javier Aramayona",
    "Hugo Parlier",
    "Kenneth J. Shackleton"
  ],
  "comment": "9 pages, 1 figure",
  "categories": [
    "math.GT"
  ],
  "abstract": "Our main theorem identifies a class of totally geodesic subgraphs of the 1-skeleton of the pants complex, each isomorphic to the product of two Farey graphs. We deduce the existence of many convex planes in the 1-skeleton of the pants complex.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-02-27T15:15:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50",
      "05C12"
    ],
    "keywords": [
      "pants complex",
      "constructing convex planes",
      "main theorem identifies",
      "totally geodesic subgraphs",
      "farey graphs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......2837A"
    }
  }
}