{
  "abstract": "We introduce a relative version of Weinstein's morphism associated to a Lagrangian submanifold \\(L\\) of a closed symplectic manifold \\((M,ω)\\). We construct a homomorphism \\[ \\mathcal{A}^{(L,α)}\\colon π_{1}\\bigl(\\operatorname{Ham}_0(M,L)\\bigr) \\longrightarrow \\mathbb{R}/\\mathcal{P}_{2}(M,ω), \\] and establish its basic properties. We compute the invariant in several examples, including latitude circles in \\(S^2\\), and more generally, Lagrangian fibers in toric manifolds. These computations provide obstructions to Ha\\-mil\\-to\\-nian isotopy of Lagrangian submanifolds and detect nontrivial, and in some cases infinite-order, elements in the homotopy groups of their Hamiltonian stabilizers.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01083",
  "author_total": 2,
  "authors": [
    {
      "name": "Andrés Pedroza"
    },
    {
      "name": "Daniel Villanueva-Vega"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c23fy2cj3066g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01083",
  "fulltext_url": null,
  "id": "c23fy2cj3066g",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01083",
  "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/2611.01083",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c23fy2cj3066g.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01083",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01083"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A relative version of Weinstein's morphism",
  "title_text": "A relative version of Weinstein's morphism",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/c23fy2cj3066g",
  "venue": "arXiv",
  "versions": []
}