{
  "abstract": "This technical note presents a mathematical reconstruction and calibration of a candidate MD2 operator on the complex projective plane CP2.\n\nThe operator is formulated as a correspondence-induced map:\n\nT(α) = π₂,(π₁α ∧ κ₂),\n\nwhere X is a smooth compact complex manifold without boundary and κ₂ is a smooth closed differential form of degree 2n on X × X.\n\nThe note examines the induced action on cohomology and provides a calibration example on CP2, using the cohomology ring H*(CP2, Q) = Q[h]/(h³). For the specified kernel class, the induced map satisfies T = c₁h. The diagonal-class example is discussed as an identity correspondence.\n\nThe results establish a mathematically formulated candidate operator and a specific calibration example. They do not establish equivalence with the original MD2 formulation, a general mechanism proving algebraicity of Hodge classes, or a proof of the Hodge conjecture. The smoothness of the kernel and the estimates required for smoothness of the associated spectral construction must be treated according to the assumptions stated in the note.\n\nThis work is intended as a technical and mathematical reconstruction for further independent analysis and verification.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "ANDRII.A ARTSYBASHEV"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0r4mz40k9ew4d.bib",
  "cited_by": 0,
  "doi": "10.5281/zenodo.23572491",
  "fulltext_url": null,
  "id": "0r4mz40k9ew4d",
  "issns": [],
  "landing_url": "https://zenodo.org/records/23572491",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [],
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  "pdf_url": "https://zenodo.org/api/records/23572491/files/download%20H.pdf/content",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0r4mz40k9ew4d.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T12:20:28Z",
      "native_id": "23572491",
      "source": "zenodo",
      "url": "https://zenodo.org/records/23572491"
    }
  ],
  "subjects": [],
  "title": "Mathematical Reconstruction and Calibration of a Candidate MD2 Operator on the Complex Projective Plane (CP2)",
  "title_text": "Mathematical Reconstruction and Calibration of a Candidate MD2 Operator on the Complex Projective Plane (CP2)",
  "type": "preprint",
  "updated_at": "2026-11-05T12:20:28Z",
  "url": "https://research.draconitic.com/paper/0r4mz40k9ew4d",
  "venue": "Zenodo",
  "versions": []
}