{
  "abstract": "Let $K$ be a field of characteristic $2$, let $ρ\\in K^\\times$, and let $R_ρ$ be the corresponding Liu-Schulz algebra. We give a complete description of the Gerstenhaber bracket and the BV structure on the Hochschild cohomology ring $\\operatorname{HH}^*(R_ρ)$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.36277",
  "author_total": 1,
  "authors": [
    {
      "name": "Artur Tursunbaev"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/01cdt6mqn3j4k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.36277",
  "fulltext_url": null,
  "id": "01cdt6mqn3j4k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.36277",
  "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.KT"
    ],
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W7224110835",
  "pdf_url": "https://arxiv.org/pdf/2610.36277",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/01cdt6mqn3j4k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.36277",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.36277"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.KT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "BV structure on the Hochschild cohomology of Liu-Schulz algebras in characteristic two",
  "title_text": "BV structure on the Hochschild cohomology of Liu-Schulz algebras in characteristic two",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/01cdt6mqn3j4k",
  "venue": "arXiv",
  "versions": []
}