{
  "abstract": "This manuscript aims to advance existing approaches to the abelianization of symplectic quotients. Two such approaches include the imploded cross-sections of Guillemin-Jeffrey-Sjamaar, and the Gelfand-Cetlin abelianizations of the first author and Weitsman. Using our notion of generalized Gelfand-Cetlin data, we generalize the second approach to account for irregular values of the moment map. Connections to symplectic implosion are emphasized throughout this manuscript.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.05422",
  "author_total": 2,
  "authors": [
    {
      "name": "Peter Crooks"
    },
    {
      "name": "Mitchell Pound"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8b521zfh13nay.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.05422",
  "fulltext_url": null,
  "id": "8b521zfh13nay",
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  "landing_url": "https://arxiv.org/abs/2610.05422",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.SG"
    ],
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      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
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  "openalex": "W7220709551",
  "pdf_url": "https://arxiv.org/pdf/2610.05422",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8b521zfh13nay.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.05422",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.05422"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Generalized Gelfand-Cetlin data and abelianization",
  "title_text": "Generalized Gelfand-Cetlin data and abelianization",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/8b521zfh13nay",
  "venue": "arXiv",
  "versions": []
}