{
  "id": "math/0703319",
  "version": "v2",
  "published": "2007-03-12T03:38:14.000Z",
  "updated": "2007-08-20T02:41:48.000Z",
  "title": "Delta edge-homotopy invariants of spatial graphs via disk-summing the constituent knots",
  "authors": [
    "Ryo Nikkuni"
  ],
  "comment": "14 pages, 17 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper we construct some invariants of spatial graphs by disk-summing the constituent knots and show the delta edge-homotopy invariance of them. As an application, we show that there exist infinitely many slice spatial embeddings of a planar graph up to delta edge-homotopy, and there exist infinitely many boundary spatial embeddings of a planar graph up to delta edge-homotopy.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-08-20T02:41:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M15",
      "57M25"
    ],
    "keywords": [
      "delta edge-homotopy invariants",
      "spatial graphs",
      "constituent knots",
      "planar graph",
      "disk-summing"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007math......3319N"
    }
  }
}