{
  "abstract": "Let $n\\ge 2$, and let $M$ be either the $n$-dimensional sphere $\\mathbb{S}^n$ or the real projective space $\\mathbb{RP}^n$. Given $α\\ge 1$, we construct a finitely generated group $G_{n,α}$ that embeds into the group of $C^α$-diffeomorphisms of $M$, but does not embed into the group of $C^β$-diffeomorphisms of $M$ for any $β>α$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.12919",
  "author_total": 2,
  "authors": [
    {
      "name": "Maximiliano Escayola"
    },
    {
      "name": "Carl-Fredrik Nyberg-Brodda"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/016fjc2z8fsj7.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.12919",
  "fulltext_url": null,
  "id": "016fjc2z8fsj7",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.12919",
  "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.DS"
    ],
    [
      "arxiv",
      "math.GR"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W7212609608",
  "pdf_url": "https://arxiv.org/pdf/2609.12919",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/016fjc2z8fsj7.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:11Z",
      "native_id": "2609.12919",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.12919"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Finitely generated groups of diffeomorphisms with prescribed critical regularity in every dimension",
  "title_text": "Finitely generated groups of diffeomorphisms with prescribed critical regularity in every dimension",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:11Z",
  "url": "https://research.draconitic.com/paper/016fjc2z8fsj7",
  "venue": "arXiv",
  "versions": []
}