{
  "id": "1508.07047",
  "version": "v1",
  "published": "2015-08-27T22:24:31.000Z",
  "updated": "2015-08-27T22:24:31.000Z",
  "title": "A slicing obstruction from the 10/8 theorem",
  "authors": [
    "Andrew Donald",
    "Faramarz Vafaee"
  ],
  "comment": "7 pages, 5 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "From Furuta's $\\frac{10}{8}$ theorem, we derive a smooth slicing obstruction for knots in $S^3$ using a spin $4$-manifold whose boundary is $0$-surgery on a knot. We show that this obstruction is able to detect torsion elements in the smooth concordance group and find topologically slice knots which are not smoothly slice.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-08-27T22:24:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "detect torsion elements",
      "smooth concordance group",
      "smooth slicing obstruction",
      "topologically slice knots"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150807047D"
    }
  }
}