{
  "abstract": "We show that quasi-Poisson and quasi-BV structures on (super)manifolds $M$ admitting an action of a Lie (super)group $G$ can be identified with a special class of homotopy Poisson and respectively $BV_\\infty$ structures on the associated differential (super)manifolds of the form ${\\mathcal M}:=M\\times Πg$, $g$ being the Lie (super)algebra of $G$. The construction is based on the proven existence of an essentially unique family of higher Jacobiators for any Lie (super)algebra $g$ with an invariant (odd or even) scalar product. We apply these arguments to the moduli spaces $M$ of flat $G$-connections on a surface with boundaries using Fock-Rosly construction.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07195",
  "author_total": 1,
  "authors": [
    {
      "name": "Sergei A. Merkulov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9d5373fh1njs8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07195",
  "fulltext_url": null,
  "id": "9d5373fh1njs8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07195",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ],
    [
      "arxiv",
      "math.QA"
    ],
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
    ]
  ],
  "openalex": "W7220999910",
  "pdf_url": "https://arxiv.org/pdf/2610.07195",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9d5373fh1njs8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:26Z",
      "native_id": "2610.07195",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07195"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Homotopy Poisson and BV$_\\infty$ structures on derived moduli spaces of flat connections",
  "title_text": "Homotopy Poisson and BV_∞ structures on derived moduli spaces of flat connections",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:26Z",
  "url": "https://research.draconitic.com/paper/9d5373fh1njs8",
  "venue": "arXiv",
  "versions": []
}