{
  "abstract": "We introduce a variant of reduced Khovanov-Rozansky homology defined in terms of the variables alpha_1, ..., alpha_{n-1} that correspond to the regions between the strands. We rigorously reestablish several folklore results in terms of our framework, including the equivalence between Khovanov's and Rasmussen's approaches. Furthermore, we show that Rasmussen's chain complex is a free resolution of the Rouquier chain complex.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29747",
  "author_total": 1,
  "authors": [
    {
      "name": "David Popović"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3be6xn7npgyxm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29747",
  "fulltext_url": null,
  "id": "3be6xn7npgyxm",
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  "landing_url": "https://arxiv.org/abs/2608.29747",
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  "licence_label": "arXiv licence",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GT"
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      "openalex",
      "2608|Geometric and Algebraic Topology"
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  "openalex": "W7204871515",
  "pdf_url": "https://arxiv.org/pdf/2608.29747",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3be6xn7npgyxm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.29747",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29747"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Reduced Khovanov-Rozansky homology",
  "title_text": "Reduced Khovanov-Rozansky homology",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/3be6xn7npgyxm",
  "venue": "arXiv",
  "versions": []
}