{
  "abstract": "Moment Lagrangian $L_μ$ is a Lagrangian in $T^*G^- \\times Y^- \\times Y$ associated to a Hamiltonian $G$-space $Y$ with a moment map $μ$. In this paper, we prove that $L_μ$ is tautologically unobstructed under mild assumptions on $Y$. As a key ingredient in the proof, we constructed a new symplectic groupoid structure on $T^*G^- \\times Y^- \\times Y$ over $G\\times Y$ for which $L_μ$ is simultaneously the unit and the fixed locus of the inversion, which might be of independent interest.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.12033",
  "author_total": 1,
  "authors": [
    {
      "name": "Yan-Lung Leon Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bpht4frnch084.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.12033",
  "fulltext_url": null,
  "id": "bpht4frnch084",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.12033",
  "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",
      "2610|Homotopy and Cohomology in Algebraic Topology"
    ]
  ],
  "openalex": "W7213114765",
  "pdf_url": "https://arxiv.org/pdf/2609.12033",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-10",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bpht4frnch084.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:11Z",
      "native_id": "2609.12033",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.12033"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Moment Lagrangians, unobstructedness and symplectic groupoids",
  "title_text": "Moment Lagrangians, unobstructedness and symplectic groupoids",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:11Z",
  "url": "https://research.draconitic.com/paper/bpht4frnch084",
  "venue": "arXiv",
  "versions": []
}