{
  "abstract": "We develop the geometric theory of equivariant quasisymmetry via a new ``quasisymmetric flag variety''. This is a toric complex in the flag variety whose fixed point set is the set of noncrossing partitions, and whose cohomology ring is the ring of quasisymmetric coinvariants.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2508.12171",
  "author_total": 5,
  "authors": [
    {
      "name": "Nantel Bergeron"
    },
    {
      "name": "Lucas Gagnon"
    },
    {
      "name": "Philippe Nadeau"
    },
    {
      "name": "Hunter Spink"
    },
    {
      "name": "Vasu Tewari"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2rcfx1bzkgg8t.bib",
  "cited_by": 0,
  "doi": "10.1017/fmp.2026.10034",
  "fulltext_url": null,
  "id": "2rcfx1bzkgg8t",
  "issns": [
    "2050-5086"
  ],
  "landing_url": "https://hal.science/hal-05343474v2",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-ag"
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      "openalex",
      "2607|Advanced Combinatorial Mathematics"
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  "openalex": "W4414460450",
  "pdf_url": "https://hal.science/hal-05343474/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-10",
  "publisher": "Cambridge Univ Press",
  "ris": "https://research.draconitic.com/paper/2rcfx1bzkgg8t.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:40Z",
      "native_id": "hal-05343474",
      "source": "hal",
      "url": "https://hal.science/hal-05343474v2"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-ag",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-co",
      "subfield": "combinatorics"
    }
  ],
  "title": "The quasisymmetric flag variety: a toric complex on noncrossing partitions",
  "title_text": "The quasisymmetric flag variety: a toric complex on noncrossing partitions",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:17:40Z",
  "url": "https://research.draconitic.com/paper/2rcfx1bzkgg8t",
  "venue": "Forum of Mathematics, Pi",
  "versions": []
}