{
  "id": "1901.10972",
  "version": "v1",
  "published": "2019-01-30T17:50:42.000Z",
  "updated": "2019-01-30T17:50:42.000Z",
  "title": "On 2-knots and connected sums with projective planes",
  "authors": [
    "Vincent Longo"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper, we generalize a result of Satoh to show that for any odd natural $n$, the connected sum of the $n$-twist spun sphere of a knot $K$ and an unknotted projective plane in the 4-sphere is equivalent to the same unknotted projective plane. We additionally provide a fix to a small error in Satoh's proof of the case that $K$ is a 2-bridge knot.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-01-30T17:50:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "connected sum",
      "unknotted projective plane",
      "twist spun sphere",
      "odd natural",
      "satohs proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}