{
  "id": "1712.05426",
  "version": "v1",
  "published": "2017-12-14T19:43:43.000Z",
  "updated": "2017-12-14T19:43:43.000Z",
  "title": "Independence of Iterated Whitehead Doubles",
  "authors": [
    "Juanita Pinzón-Caicedo"
  ],
  "categories": [
    "math.GT"
  ],
  "abstract": "A theorem of Furuta and Fintushel-Stern provides a criterion for a collection of Seifert fibred homology spheres to be independent in the homology cobordism group of oriented homology 3-spheres. In this article we use these results and some 4-dimensional constructions to produce infinite families of positive torus knots whose iterated Whitehead doubles are independent in the smooth concordance group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-12-14T19:43:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57N70",
      "57Q60"
    ],
    "keywords": [
      "iterated whitehead doubles",
      "independence",
      "seifert fibred homology spheres",
      "produce infinite families",
      "homology cobordism group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}