{
  "abstract": "We introduce a version of convex surface theory for immersed ribbon surfaces with Legendrian boundary. As an application, we establish a special case of K3: Problem 1.70 on sharpness in the slice-Bennequin inequality implying quasipositivity, and a special case of a conjecture of Cornwell, Ng, and Sivek on characterizing Lagrangian sliceness. Specifically, we prove that if $K$ is a knot that bounds a \"star-shaped\" ribbon disk and satisfies $\\overline{\\mathrm{sl}}(K) = -1$ (resp.\\ $\\overline{\\mathrm{tb}}(K) = -1$), then $K$ is quasipositive (resp.\\ Lagrangian slice). In fact, we prove these statements for any fixed transverse (resp.\\ Legendrian) representative.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.05331",
  "author_total": 2,
  "authors": [
    {
      "name": "Joseph Breen"
    },
    {
      "name": "Alexander Zupan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4vhnn80weax62.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.05331",
  "fulltext_url": null,
  "id": "4vhnn80weax62",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.05331",
  "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"
    ],
    [
      "arxiv",
      "math.SG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.05331",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4vhnn80weax62.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:29Z",
      "native_id": "2611.05331",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.05331"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Convex ribbon disks, quasipositivity, and Lagrangian sliceness",
  "title_text": "Convex ribbon disks, quasipositivity, and Lagrangian sliceness",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/4vhnn80weax62",
  "venue": "arXiv",
  "versions": []
}