{
  "abstract": "On stacks there is a richer version of $\\mathcal{D}$-modules---called $\\textit{potent }\\mathcal{D}\\textit{-modules}$---which decompletes at equivariant parameters, in the same sense that genuine equivariant $K$-theory decompletes equivariant cohomology. In this paper, we prove a ``genuine'' version of Kashiwara's lemma for $\\mathcal{D}$-modules. Namely, we show that for a broad class of geometric stacks $X$, if $Z \\subset X$ is a closed substack, the category $\\mathcal{D}^{\\mathrm{pot}}(Z)$ of potent $\\mathcal{D}$-modules on $Z$ is equivalent under pushforward to the category $\\mathcal{D}^{\\mathrm{pot}} _Z(X)$ of potent $\\mathcal{D}$-modules on $X$ with support contained in $Z$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.32003",
  "author_total": 2,
  "authors": [
    {
      "name": "Jacob Erlikhman"
    },
    {
      "name": "Kendric Schefers"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/afrfxpd705rpa.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.32003",
  "fulltext_url": null,
  "id": "afrfxpd705rpa",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.32003",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.AT"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
    ]
  ],
  "openalex": "W7223675231",
  "pdf_url": "https://arxiv.org/pdf/2610.32003",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/afrfxpd705rpa.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:19Z",
      "native_id": "2610.32003",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.32003"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Kashiwara's Lemma for Potent D-modules",
  "title_text": "Kashiwara's Lemma for Potent D-modules",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/afrfxpd705rpa",
  "venue": "arXiv",
  "versions": []
}