{
  "abstract": "We characterize two objects by universal property: the derived de Rham complex and Hochschild homology together with its Hochschild–Kostant–Rosenberg (HKR) filtration. This involves endowing these objects with extra structure, built on notions of “homotopy-coherent cochain complex” and “filtered circle action” that we study here. We use these universal properties to give a conceptual proof that the associated graded of the HKR filtration identifies with the derived de Rham complex, as well as to give a new construction of the filtrations on cyclic, negative cyclic, and periodic cyclic homology that relate these invariants to derived de Rham cohomology.",
  "abstract_shown": true,
  "affiliations": [
    "Northwestern University, Evanston, United States"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Arpon Raksit"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/55381mmn7jgdg.bib",
  "cited_by": 107,
  "doi": "10.1007/s00029-026-01154-w",
  "fulltext_url": null,
  "id": "55381mmn7jgdg",
  "issns": [
    "1022-1824",
    "1420-9020"
  ],
  "landing_url": "https://doi.org/10.1007/s00029-026-01154-w",
  "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": "W3039213385",
  "pdf_url": "https://link.springer.com/content/pdf/10.1007/s00029-026-01154-w.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-06-22",
  "publisher": "Birkhäuser",
  "ris": "https://research.draconitic.com/paper/55381mmn7jgdg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:17Z",
      "native_id": "W3039213385",
      "source": "openalex",
      "url": "https://doi.org/10.1007/s00029-026-01154-w"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Homotopy and Cohomology in Algebraic Topology",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Hochschild homology and the derived de Rham complex revisited",
  "title_text": "Hochschild homology and the derived de Rham complex revisited",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T13:20:59Z",
  "url": "https://research.draconitic.com/paper/55381mmn7jgdg",
  "venue": "Selecta Mathematica",
  "versions": []
}