{
  "abstract": "In this paper we study (the positive half of) the elliptic Hall category, a categorical version of the elliptic Hall algebra. Our main result is a computation of categorical versions of the generators in the coherent realization of the elliptic Hall category, i.e., via coherent sheaves on commuting stacks for $\\operatorname{GL}_n\\times \\mathfrak{gl}_n$: we realize them as Hodge associated graded sheaves of certain twisted equivariant $D$-modules on the groups $\\operatorname{GL}_n$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33992",
  "author_total": 3,
  "authors": [
    {
      "name": "Roman Bezrukavnikov"
    },
    {
      "name": "Ivan Losev"
    },
    {
      "name": "Xinchun Ma"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4vk5zzw6dz0cp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33992",
  "fulltext_url": null,
  "id": "4vk5zzw6dz0cp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33992",
  "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.RT"
    ],
    [
      "openalex",
      "2608|Algebraic structures and combinatorial models"
    ]
  ],
  "openalex": "W7223906510",
  "pdf_url": "https://arxiv.org/pdf/2610.33992",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4vk5zzw6dz0cp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.33992",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33992"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "On the elliptic Hall category",
  "title_text": "On the elliptic Hall category",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/4vk5zzw6dz0cp",
  "venue": "arXiv",
  "versions": []
}