{
  "abstract": "We introduce magnetic cotangent groupoids on the cotangent bundle of a Lie groupoid using normalized cocycles, and characterize when magnetic symplectic forms are multiplicative on these groupoids. We show that $\\mathbb{S}^1$-central extensions of Lie groupoids yield such structures via symplectic reduction. For a Kac--Moody extension, the resulting deformation connects the coadjoint and gauge action groupoids, which are not Morita equivalent.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.22288",
  "author_total": 2,
  "authors": [
    {
      "name": "Dadi Ni"
    },
    {
      "name": "Kaichuan Qi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fa1xe8q6gpr0d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.22288",
  "fulltext_url": null,
  "id": "fa1xe8q6gpr0d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.22288",
  "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.DG"
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      "arxiv",
      "math.SG"
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      "2610|Homotopy and Cohomology in Algebraic Topology"
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  "openalex": "W7165654900",
  "pdf_url": "https://arxiv.org/pdf/2606.22288",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fa1xe8q6gpr0d.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:13Z",
      "native_id": "2606.22288",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.22288"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Magnetic cotangent groupoids",
  "title_text": "Magnetic cotangent groupoids",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:28Z",
  "url": "https://research.draconitic.com/paper/fa1xe8q6gpr0d",
  "venue": "arXiv",
  "versions": []
}