{
  "abstract": "The amplituhedron was introduced by Arkani-Hamed and Trnka (2014) to geometrically encode scattering amplitudes in high-energy physics. It can be viewed as the generalization of a cyclic polytope into the Grassmannian, and is defined to be the projection of the totally nonnegative part of one Grassmannian with respect to a totally negative element of a second Grassmannian. We construct a Lie-theoretic generalization of amplituhedra called 'flag amplituhedra', by replacing the pair of Grassmannians in the definition with an arbitrary pair of partial flag varieties for a reductive group $G$. We study in detail an example of a flag amplituhedron which is not a Grassmannian amplituhedron; it is a curved hexagon in $\\mathbb{P}^1\\times \\mathbb{P}^1$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.37017",
  "author_total": 3,
  "authors": [
    {
      "name": "Grant T. Barkley"
    },
    {
      "name": "Steven N. Karp"
    },
    {
      "name": "Kaitao Xie"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e12khzj066w72.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.37017",
  "fulltext_url": null,
  "id": "e12khzj066w72",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.37017",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.CO"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2607|Advanced Combinatorial Mathematics"
    ]
  ],
  "openalex": "W7224118938",
  "pdf_url": "https://arxiv.org/pdf/2610.37017",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e12khzj066w72.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:50Z",
      "native_id": "2610.37017",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.37017"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "From amplituhedra to flagtopes",
  "title_text": "From amplituhedra to flagtopes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/e12khzj066w72",
  "venue": "arXiv",
  "versions": []
}