{
  "abstract": "We construct a transferred $L_\\infty$-structure on the shifted Chouhy--Solotar cochain complex of a finite-dimensional skew-gentle algebra and give explicit basis-level formulas for its binary operation $l_2$ in all shifted degrees. We further prove that the Hochschild dg Lie algebra of an $A_n$-type skew-gentle algebra is homotopy abelian, and hence $L_\\infty$-formal, and contrast this with Wong's non-formality result for the dual numbers $\\mathbb{K}[θ]/\\langle θ^2 \\rangle$, leading to a general formality classification problem.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.23527",
  "author_total": 3,
  "authors": [
    {
      "name": "Zixu Li"
    },
    {
      "name": "Liyu Liu"
    },
    {
      "name": "Lingchao Meng"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/82d4fw4cf426f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.23527",
  "fulltext_url": null,
  "id": "82d4fw4cf426f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.23527",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.KT"
    ],
    [
      "arxiv",
      "math.RA"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2602|Advanced Topics in Algebra"
    ]
  ],
  "openalex": "W7214054352",
  "pdf_url": "https://arxiv.org/pdf/2609.23527",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-20",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/82d4fw4cf426f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.23527",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.23527"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.KT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Transferred $L_\\infty$-structures and a classification of binary brackets for finite-dimensional skew-gentle algebras",
  "title_text": "Transferred L_∞-structures and a classification of binary brackets for finite-dimensional skew-gentle algebras",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/82d4fw4cf426f",
  "venue": "arXiv",
  "versions": []
}