{
  "id": "2205.11001",
  "version": "v1",
  "published": "2022-05-23T02:22:56.000Z",
  "updated": "2022-05-23T02:22:56.000Z",
  "title": "Concordance of spatial graphs",
  "authors": [
    "Egor Lappo"
  ],
  "comment": "14 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "We define smooth notions of concordance and sliceness for spatial graphs. We prove that sliceness of a spatial graph is equivalent to a condition on a set of linking numbers together with sliceness of a link associated to the graph. This generalizes the result of Taniyama for $\\theta$-curves.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-23T02:22:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M15",
      "05C10",
      "57K10"
    ],
    "keywords": [
      "spatial graph",
      "concordance",
      "define smooth notions",
      "equivalent",
      "linking numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}