{
  "abstract": "A Ševera bicomplex is a bicomplex $(M,d_{0},d_{1})$ whose differentials $d_{i}$ are Grothendieck differential operators of order $\\leq i$ with respect to a given $A$-module structure on $M$, where $A$ is a graded commutative algebra. One also requires that $(M,d_{0})$ admits a contracting homotopy $K$ that is a differential operator of the same order as $d_{0}$. Under suitable assumptions, the differential $d_{2}$ of the second page of the spectral sequence associated with $(M,d_{0},d_{1})$ is a Batalin-Vilkovisky operator on $E_{2}$, so that when $E_{2}$ is a free rank 1 $A$-module, the graded commutative algebra structure of $A$ is enhanced to a Gerstenhaber algebra structure, and the choice of a $d_{2}$-closed basis element for $E_{2}$ further enhances this to a Batalin-Vilkovisky algebra structure. The prototypical example of this construction is Ševera's description of the Batalin--Vilkovisky algebra structure on the algebra of smooth functions of an odd symplectic manifold. Throughout the whole article we look at Batalin-Vilkovisky algebras through the lenses of Cartan calculus. Indications of a generalization to derived Cartan calculus are briefly discussed in the concluding section.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.24781",
  "author_total": 2,
  "authors": [
    {
      "name": "Eugenia Boffo"
    },
    {
      "name": "Domenico Fiorenza"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/93s7sdjgtq53w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.24781",
  "fulltext_url": null,
  "id": "93s7sdjgtq53w",
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  "landing_url": "https://arxiv.org/abs/2609.24781",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.DG"
    ],
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      "arxiv",
      "math.MP"
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      "2610|Homotopy and Cohomology in Algebraic Topology"
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  "openalex": "W7213996559",
  "pdf_url": "https://arxiv.org/pdf/2609.24781",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/93s7sdjgtq53w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:19Z",
      "native_id": "2609.24781",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.24781"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Batalin-Vilkovisky algebras from Ševera bicomplexes",
  "title_text": "Batalin-Vilkovisky algebras from Ševera bicomplexes",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/93s7sdjgtq53w",
  "venue": "arXiv",
  "versions": []
}