{
  "abstract": "We determine the Maslov-graded next-to-top term of knot Floer homology for fibered positive links. Its rank in Maslov grading (-1) is the number of nontrivial prime connected-sum factors plus the number of components minus one, and the remaining summand is supported in Maslov grading zero. For a knot, the dimension of this remaining summand is determined by its Alexander polynomial. The proof combines a preferred-crossing construction with reductions of generalized Seifert surfaces to planar pretzel surfaces and a graded skein induction. We also obtain bounds on the fixed points of monodromies for fibered positive knots.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.16539",
  "author_total": 1,
  "authors": [
    {
      "name": "Zhechi Cheng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/89mqgq6m9j00b.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.16539",
  "fulltext_url": null,
  "id": "89mqgq6m9j00b",
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  "landing_url": "https://arxiv.org/abs/2610.16539",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
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  ],
  "openalex": "W7221832172",
  "pdf_url": "https://arxiv.org/pdf/2610.16539",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/89mqgq6m9j00b.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.16539",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.16539"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Knot Floer homology of fibered positive links",
  "title_text": "Knot Floer homology of fibered positive links",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/89mqgq6m9j00b",
  "venue": "arXiv",
  "versions": []
}