{
  "abstract": "We show that a decomposable Lagrangian concordance between two Legendrian links must induce a closed immersion between the sheaf moduli of its ends. As the main application of this criterion, we prove a conjecture of Cornwell-Ng-Sivek, showing that their Lagrangian concordance is not decomposable. This establishes the first known example of a regular Lagrangian concordance between Legendrian knots that is not decomposable. In addition, we show that even the simpler Lagrangian concordance, satelliting via the Reeb 2-copy, is not decomposable.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03448",
  "author_total": 1,
  "authors": [
    {
      "name": "Roger Casals"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/36ndq5qavn2cq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03448",
  "fulltext_url": null,
  "id": "36ndq5qavn2cq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03448",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.SG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03448",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/36ndq5qavn2cq.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.03448",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03448"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Decomposable concordances induce closed immersions",
  "title_text": "Decomposable concordances induce closed immersions",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:28Z",
  "url": "https://research.draconitic.com/paper/36ndq5qavn2cq",
  "venue": "arXiv",
  "versions": []
}