{
  "id": "1407.1795",
  "version": "v2",
  "published": "2014-07-07T18:38:48.000Z",
  "updated": "2014-11-13T20:29:08.000Z",
  "title": "Concordance homomorphisms from knot Floer homology",
  "authors": [
    "Peter Ozsvath",
    "Andras Stipsicz",
    "Zoltan Szabo"
  ],
  "comment": "Minor revisions, corrected typos and Conjectures 1.23 and 1.24",
  "categories": [
    "math.GT"
  ],
  "abstract": "We modify the construction of knot Floer homology to produce a one-parameter family of homologies for knots in the three-sphere. These invariants can be used to give homomorphisms from the smooth concordance group to the integers, giving bounds on the four-ball genus and the concordance genus of knots. We give some applications of these homomorphisms.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-07-07T18:38:48.000Z",
      "comment": null,
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-11-13T20:29:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57R58",
      "57M25"
    ],
    "keywords": [
      "knot floer homology",
      "concordance homomorphisms",
      "smooth concordance group",
      "four-ball genus",
      "concordance genus"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1407.1795O"
    }
  }
}