{
  "abstract": "We establish bijections among spherical orbits on loop symmetric spaces, principal bundles on the twistor $\\mathbb P^1$, and tempiric Langlands parameters. Using Vogan's theory of minimal $K$-types, we further establish bijections among irreducible equivariant local systems on loop symmetric spaces, irreducible local systems on principal bundles on the twistor $\\mathbb P^1$, and irreducible representations of all strong inner forms of the dual symmetric subgroup. The latter bijections may be viewed as a combinatorial shadow of geometric Langlands duality for real reductive groups.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16246",
  "author_total": 2,
  "authors": [
    {
      "name": "Tsao-Hsien Chen"
    },
    {
      "name": "Lingfei Yi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7ms1jrpqr8pgk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16246",
  "fulltext_url": null,
  "id": "7ms1jrpqr8pgk",
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  "landing_url": "https://arxiv.org/abs/2609.16246",
  "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.NT"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
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  "openalex": "W7213413473",
  "pdf_url": "https://arxiv.org/pdf/2609.16246",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7ms1jrpqr8pgk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:45Z",
      "native_id": "2609.16246",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16246"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Loop spaces, twistor $\\mathbb P^1$ and tempiric parameters",
  "title_text": "Loop spaces, twistor ℙ^1 and tempiric parameters",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/7ms1jrpqr8pgk",
  "venue": "arXiv",
  "versions": []
}