{
  "abstract": "We equip Khovanov's colored $\\mathfrak{gl}(2)$-homology groups with a degree-2 derivation. Over a field of characteristic $p>2$, the derivation specializes to a $p$-nilpotent differential, which leads to a categorification of colored $\\mathfrak{gl}(2)$-homology at a $2p$th root of unity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.01122",
  "author_total": 4,
  "authors": [
    {
      "name": "You Qi"
    },
    {
      "name": "Louis-Hadrien Robert"
    },
    {
      "name": "Joshua Sussan"
    },
    {
      "name": "Emmanuel Wagner"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/34fy30pcm388g.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.01122",
  "fulltext_url": null,
  "id": "34fy30pcm388g",
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  "landing_url": "https://arxiv.org/abs/2610.01122",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GT"
    ],
    [
      "arxiv",
      "math.QA"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
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  "openalex": "W7216172568",
  "pdf_url": "https://arxiv.org/pdf/2610.01122",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/34fy30pcm388g.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:07Z",
      "native_id": "2610.01122",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.01122"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Colored Khovanov homology theories at prime roots of unity",
  "title_text": "Colored Khovanov homology theories at prime roots of unity",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:07Z",
  "url": "https://research.draconitic.com/paper/34fy30pcm388g",
  "venue": "arXiv",
  "versions": []
}