{
  "abstract": "It is shown that the mapping class group of any non-sporadic surface admits a continuum of equivariant coarse median structures, thus improving a previous theorem of the author. The same holds for a wide class of right-angled Artin and Coxeter groups, including examples of any dimension at least two, and RACGs which are not quasi-isometric to RAAGs; the coarse median structures in these cases are not induced by cocompact cubulations. The results are instances of a general procedure, which uses quasicocycles to flexibly modify the structure of a (suitable) hierarchically hyperbolic group.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09162",
  "author_total": 1,
  "authors": [
    {
      "name": "Giorgio Mangioni"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/bs7mfc8aht1f1.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09162",
  "fulltext_url": null,
  "id": "bs7mfc8aht1f1",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09162",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GR"
    ],
    [
      "arxiv",
      "math.GT"
    ],
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      "openalex",
      "2608|Geometric and Algebraic Topology"
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  ],
  "openalex": "W7220942313",
  "pdf_url": "https://arxiv.org/pdf/2610.09162",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-06",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/bs7mfc8aht1f1.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:42Z",
      "native_id": "2610.09162",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09162"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A continuum of coarse medians for all mapping class groups and right-angled groups",
  "title_text": "A continuum of coarse medians for all mapping class groups and right-angled groups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:42Z",
  "url": "https://research.draconitic.com/paper/bs7mfc8aht1f1",
  "venue": "arXiv",
  "versions": []
}