{
  "abstract": "We prove an equivariant Darboux theorem for $-1$-shifted contact derived Artin stacks. Such a stack admits a smooth atlas by contact Darboux charts: the derived discriminant locus $Δ\\mathrm{loc}(s)$ of a relative section $s$, extended in degree $-2$ along the relative dimension of the chart. Near a point with linearly reductive stabilizer $G$ acting on the contact line through a character $χ$, the stack is étale-locally the quotient $[Δ\\mathrm{loc}_G(s)/G]$, whose degree $-2$ generators are indexed by the Lie algebra of $G$ with differential a contact moment map. The cotangent complex sees these generators as $\\mathrm{Lie}\\,\\ker(χ)$ in degree $-2$; they vanish exactly when $\\ker(χ)$ is finite, and the quotient of the discriminant locus alone is a local model at no point where they are nonzero. For a quiver with potential the contact moment map is the moment map of the doubled quiver, the classical truncation is the representation space of the Jacobi algebra, and the degree $-2$ generators are carried exactly by the locus of positive-dimensional stabilizer.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.11179",
  "author_total": 1,
  "authors": [
    {
      "name": "Efe İzbudak"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9vgxpwpg11bhk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.11179",
  "fulltext_url": null,
  "id": "9vgxpwpg11bhk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.11179",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7164198564",
  "pdf_url": "https://arxiv.org/pdf/2606.11179",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9vgxpwpg11bhk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:45Z",
      "native_id": "2606.11179",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.11179"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Equivariant Contact Darboux Quotients",
  "title_text": "Equivariant Contact Darboux Quotients",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/9vgxpwpg11bhk",
  "venue": "arXiv",
  "versions": []
}