{
  "abstract": "Inspired by the rigidity of exact Lagrangian submanifolds, a conjecture by P. Biran and O. Cornea asks if a simple exact Lagrangian cobordism W in a tame exact symplectic manifold is always \"symplectically trivial\" (i.e. the Lagrangian suspension of an Hamiltonian isotopy).\n\nIn this short note, we prove a topological version of this conjecture : if the cobordism has dimension at least 6, it is always topologically trivial. This extends a previous work of Lara Suarez who reduced the question to proving an injectivity result among fundamental groups.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03041",
  "author_total": 1,
  "authors": [
    {
      "name": "Jean-François J.-F. B. Barraud"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/439vne1gbecqb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03041",
  "fulltext_url": null,
  "id": "439vne1gbecqb",
  "issns": [],
  "landing_url": "https://hal.science/hal-05848642v1",
  "language": "en",
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.SG"
    ],
    [
      "hal",
      "0.math"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05848642/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/439vne1gbecqb.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:20:17Z",
      "native_id": "hal-05848642",
      "source": "hal",
      "url": "https://hal.science/hal-05848642v1"
    },
    {
      "first_seen": "2026-11-03T12:21:14Z",
      "native_id": "2611.03041",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03041"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "TOPOLOGICAL TRIVIALITY OF EXACT LAGRANGIAN COBORDISMS",
  "title_text": "TOPOLOGICAL TRIVIALITY OF EXACT LAGRANGIAN COBORDISMS",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:28Z",
  "url": "https://research.draconitic.com/paper/439vne1gbecqb",
  "venue": "HAL",
  "versions": []
}