{
  "abstract": "We develop a general obstruction theory to the formality of algebraic structures over any commutative ground ring. It relies on the construction of Kaledin obstruction classes that faithfully detect the formality of differential graded algebras over operads or properads, possibly colored in groupoids. The present treatment generalizes the previous obstruction classes in two directions: outside characteristic zero and including a wider range of algebraic structures. This enables us to establish novel formality criteria, including formality descent with torsion coefficients, formality in families, intrinsic formality, and criteria in terms of chain-level lifts of homology automorphism.",
  "abstract_shown": true,
  "affiliations": [
    "DMA - Département de Mathématiques et Applications - ENS-PSL (UMR8553) (45 rue d'Ulm 75005 Paris - France)",
    "LAGA - Laboratoire Analyse, Géométrie et Applications (Institut Galilée, 99 avenue Jean-Baptiste Clément, F-93430, Villetaneuse, France - France)"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Coline Emprin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5rgm2b5k9aytf.bib",
  "cited_by": 12,
  "doi": "10.1016/j.aim.2026.111376",
  "fulltext_url": null,
  "id": "5rgm2b5k9aytf",
  "issns": [
    "0001-8708",
    "1090-2082"
  ],
  "landing_url": "https://doi.org/10.1016/j.aim.2026.111376",
  "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"
    ]
  ],
  "openalex": "W4396244024",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-06",
  "publisher": "Elsevier BV",
  "ris": "https://research.draconitic.com/paper/5rgm2b5k9aytf.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T13:20:42Z",
      "native_id": "W4396244024",
      "source": "openalex",
      "url": "https://doi.org/10.1016/j.aim.2026.111376"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Homotopy and Cohomology in Algebraic Topology",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Kaledin classes and formality criteria",
  "title_text": "Kaledin classes and formality criteria",
  "type": "peer-reviewed",
  "updated_at": "2026-11-08T13:20:36Z",
  "url": "https://research.draconitic.com/paper/5rgm2b5k9aytf",
  "venue": "Advances in Mathematics",
  "versions": []
}