{
  "id": "1806.08919",
  "version": "v1",
  "published": "2018-06-23T07:05:32.000Z",
  "updated": "2018-06-23T07:05:32.000Z",
  "title": "Neighborhood equivalence for multibranched surfaces in 3-manifolds",
  "authors": [
    "Kai Ishihara",
    "Yuya Koda",
    "Makoto Ozawa",
    "Koya Shimokawa"
  ],
  "comment": "13 pages, 8 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "A multibranched surface is a 2-dimensional polyhedron without vertices. We introduce moves for multibranched surfaces embedded in a 3-manifold, which connect any two multibranched surfaces with the same regular neighborhoods in finitely many steps.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-23T07:05:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multibranched surface",
      "neighborhood equivalence",
      "regular neighborhoods"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}