{
  "id": "2104.14687",
  "version": "v1",
  "published": "2021-04-29T22:41:41.000Z",
  "updated": "2021-04-29T22:41:41.000Z",
  "title": "The next-to-top term in knot Floer homology",
  "authors": [
    "Yi Ni"
  ],
  "comment": "10 pages",
  "categories": [
    "math.GT"
  ],
  "abstract": "Let $K$ be a null-homologous knot in a generalized L-space $Z$ with $b_1(Z)\\le1$. Let $F$ be a Seifert surface of $K$ with genus $g$. We show that if $\\widehat{HFK}(Z,K,[F],g)$ is supported in a single $\\mathbb Z/2\\mathbb Z$--grading, then \\[\\mathrm{rank}\\widehat{HFK}(Z,K,[F],g-1)\\ge\\mathrm{rank}\\widehat{HFK}(Z,K,[F],g).\\]",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-29T22:41:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K18"
    ],
    "keywords": [
      "knot floer homology",
      "next-to-top term",
      "seifert surface",
      "null-homologous knot"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}