{
  "abstract": "Let $(M,ω_M)$ be closed symplectic manifold containing a closed Lagrangian submanifold $L$ with $ω_M$ vanishing on $π_2(M,L)$. We prove that there is a nonconstant $J$-holomorphic plane $u:\\mathbb{C}\\rightarrow M\\times \\mathbb{T}^2$ for any almost complex structure $ J$ on $M\\times \\mathbb{T}^2$ tamed by $ω_M\\oplusω_{\\text{std}}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07799",
  "author_total": 2,
  "authors": [
    {
      "name": "Urs Fuchs"
    },
    {
      "name": "Yuchen Yang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/92x0v9zxq0e16.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07799",
  "fulltext_url": null,
  "id": "92x0v9zxq0e16",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07799",
  "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.SG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07799",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/92x0v9zxq0e16.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.07799",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07799"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Holomorphic planes in $M\\times \\mathbb{T}^2$ from weakly exact Lagrangians in $M$",
  "title_text": "Holomorphic planes in M× 𝕋^2 from weakly exact Lagrangians in M",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:48Z",
  "url": "https://research.draconitic.com/paper/92x0v9zxq0e16",
  "venue": "arXiv",
  "versions": []
}