{
  "id": "2010.01205",
  "version": "v1",
  "published": "2020-10-02T21:24:58.000Z",
  "updated": "2020-10-02T21:24:58.000Z",
  "title": "A note on a Geography problem in knot Floer homology",
  "authors": [
    "Subhankar Dey"
  ],
  "comment": "10 pages, 5 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove that knot Floer homology of a certain class of knots is non-trivial in next-to-top Alexander grading. This gives a partial affirmative answer to a question posed by Baldwin and Vela-Vick which asks if the same is true for all non-trivial knots in $S^3$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-10-02T21:24:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K18",
      "57K10",
      "57K33"
    ],
    "keywords": [
      "knot floer homology",
      "geography problem",
      "partial affirmative answer",
      "non-trivial knots",
      "next-to-top alexander grading"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}