{
  "abstract": "By a result of Deligne, Griffiths, Morgan, and Sullivan, compact Kähler manifolds are rationally formal. In contrast to this, we show that the pluripotential quasi‐isomorphism type of the bigraded, bidifferential algebra of forms on a compact Kähler manifold generally contains more information than the de Rham cohomology algebra with its real Hodge structure. More precisely, on any compact Kähler manifold fibering over a Riemann surface of genus at least two, there is a nontrivial ‐Massey product. Furthermore, starting from dimension three, there are simply connected projective manifolds with a nonzero ‐Massey product of three divisor classes. In particular, compact Kähler manifolds are generally not formal in the sense of pluripotential homotopy theory.",
  "abstract_shown": true,
  "affiliations": [
    "Dipartimento di Matematica e Informatica Università degli Studi di Cagliari Cagliari Italy",
    "Mathematisches Institut der LMU München München Germany",
    "Facultat de Matemàtiques i Informàtica Universitat de Barcelona Barcelona Spain"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Giovanni Placini",
      "orcid": "0000-0002-0137-6224"
    },
    {
      "affs": [
        1
      ],
      "name": "Jonas Stelzig",
      "orcid": "0000-0002-2923-7349"
    },
    {
      "affs": [
        2
      ],
      "name": "Leopold Zoller",
      "orcid": "0000-0002-7877-0991"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6rnfjs9ga6bwv.bib",
  "cited_by": 14,
  "doi": "10.1112/topo.70107",
  "fulltext_url": null,
  "id": "6rnfjs9ga6bwv",
  "issns": [
    "1753-8416",
    "1753-8424"
  ],
  "landing_url": "https://doi.org/10.1112/topo.70107",
  "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",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W4394868191",
  "pdf_url": "https://onlinelibrary.wiley.com/doi/pdfdirect/10.1112/topo.70107",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": "Wiley",
  "ris": "https://research.draconitic.com/paper/6rnfjs9ga6bwv.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T13:20:41Z",
      "native_id": "W4394868191",
      "source": "openalex",
      "url": "https://doi.org/10.1112/topo.70107"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Geometry and complex manifolds",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Nontrivial Massey products on compact Kähler manifolds",
  "title_text": "Nontrivial Massey products on compact Kähler manifolds",
  "type": "peer-reviewed",
  "updated_at": "2026-11-08T13:20:36Z",
  "url": "https://research.draconitic.com/paper/6rnfjs9ga6bwv",
  "venue": "Journal of Topology",
  "versions": []
}