{
  "abstract": "We show that there is an equivalence of $$\\infty $$ ∞ -categories between Lie algebroids and certain kinds of curved Lie algebras. For this we develop a method to study the $$\\infty $$ ∞ -category of curved Lie algebras using the homotopy theory of algebras over a complete operad.",
  "abstract_shown": true,
  "affiliations": [
    "IMAG, Univ. Montpellier, CNRS, Montpellier, France",
    "Institut Montpelliérain Alexander Grothendieck",
    "Univ. Toulouse, INUC, UT2J, INSA Toulouse, TSE, CNRS, IMT, Toulouse, France"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
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        0,
        1
      ],
      "name": "Damien Calaque",
      "orcid": "0000-0003-4463-1536"
    },
    {
      "affs": [
        2,
        1
      ],
      "name": "Ricardo Campos",
      "orcid": "0000-0002-2706-7622"
    },
    {
      "affs": [
        2,
        1
      ],
      "name": "Joost Nuiten",
      "orcid": "0000-0002-7091-7354"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eqsh05gezcf7e.bib",
  "cited_by": 17,
  "doi": "10.1007/s00029-026-01158-6",
  "fulltext_url": null,
  "id": "eqsh05gezcf7e",
  "issns": [
    "1022-1824",
    "1420-9020"
  ],
  "landing_url": "https://doi.org/10.1007/s00029-026-01158-6",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
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  "openalex": "W3136899487",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/s00029-026-01158-6.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-29",
  "publisher": "Birkhäuser",
  "ris": "https://research.draconitic.com/paper/eqsh05gezcf7e.ris",
  "sources": [
    {
      "first_seen": "2026-11-08T13:20:35Z",
      "native_id": "W3136899487",
      "source": "openalex",
      "url": "https://doi.org/10.1007/s00029-026-01158-6"
    }
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Homotopy and Cohomology in Algebraic Topology",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Lie algebroids are curved Lie algebras",
  "title_text": "Lie algebroids are curved Lie algebras",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T13:20:59Z",
  "url": "https://research.draconitic.com/paper/eqsh05gezcf7e",
  "venue": "Selecta Mathematica",
  "versions": []
}