{
  "id": "1006.1636",
  "version": "v2",
  "published": "2010-06-08T19:03:08.000Z",
  "updated": "2012-10-23T18:25:23.000Z",
  "title": "High-dimensional fillings in Heisenberg groups",
  "authors": [
    "Robert Young"
  ],
  "comment": "16 pages",
  "categories": [
    "math.GR"
  ],
  "abstract": "We use intersections with horizontal manifolds to show that high-dimensional cycles in the Heisenberg group can be approximated efficiently by simplicial cycles. This lets us calculate all of the higher-order Dehn functions of the Heisenberg groups, thus proving a conjecture of Gromov.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-10-23T18:25:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F65",
      "20F18"
    ],
    "keywords": [
      "heisenberg group",
      "high-dimensional fillings",
      "higher-order dehn functions",
      "high-dimensional cycles",
      "simplicial cycles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.1636Y"
    }
  }
}