{
  "abstract": "We obtain new constraints on the topology of Lagrangian submanifolds in the standard symplectic vector space $\\mathbb{C}^n$ using Floer theory on the based loop space, generalizing a theorem of Fukaya-Irie. In particular, we show that non-trivial connected sums of closed, spin, aspherical manifolds of even dimensions do not admit Lagrangian embeddings into $\\mathbb{C}^n$. A feature of the proof is that the obstructedness of the Floer theory is used to constrain the fundamental group of the Lagrangian.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06574",
  "author_total": 1,
  "authors": [
    {
      "name": "Shuhao Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7bjr5nr5wamy1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06574",
  "fulltext_url": null,
  "id": "7bjr5nr5wamy1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06574",
  "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.AT"
    ],
    [
      "arxiv",
      "math.GT"
    ],
    [
      "arxiv",
      "math.SG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06574",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7bjr5nr5wamy1.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:21:00Z",
      "native_id": "2611.06574",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06574"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Floer theory on based loops and fundamental groups of Lagrangians in $\\mathbb{C}^n$",
  "title_text": "Floer theory on based loops and fundamental groups of Lagrangians in ℂ^n",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/7bjr5nr5wamy1",
  "venue": "arXiv",
  "versions": []
}