{
  "id": "1610.03830",
  "version": "v1",
  "published": "2016-10-12T19:16:11.000Z",
  "updated": "2016-10-12T19:16:11.000Z",
  "title": "Bipyramid Decompositions of Multi-crossing Link Complements",
  "authors": [
    "Colin Adams",
    "Gregory Kehne"
  ],
  "comment": "14 pages, 7 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "Generalizing previous constructions, we present a dual pair of decompositions of the complement of a link L into bipyramids, given any multi-crossing projection of L. When L is hyperbolic, this gives new upper bounds on the volume of L given its multi-crossing projection. These bounds are realized by three closely related infinite tiling weaves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-12T19:16:11.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M50"
    ],
    "keywords": [
      "multi-crossing link complements",
      "bipyramid decompositions",
      "multi-crossing projection",
      "upper bounds",
      "dual pair"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}