{
  "abstract": "We study the proper geometric dimension of {\\it full} mapping class groups of non-orientable surfaces with punctures. Building on the computation for closed non-orientable surfaces, we prove that the proper geometric dimension agrees with the virtual cohomological dimension in all but a finite collection of low-complexity cases, for which we obtain explicit bounds. Our results provide the non-orientable counterpart of the corresponding computations for mapping class groups of closed and punctured orientable surfaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.22505",
  "author_total": 4,
  "authors": [
    {
      "name": "Nestor Colin"
    },
    {
      "name": "Rita Jiménez Rolland"
    },
    {
      "name": "Porfirio L. León Álvarez"
    },
    {
      "name": "Luis Jorge Sánchez Saldaña"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4va035jsq2c04.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.22505",
  "fulltext_url": null,
  "id": "4va035jsq2c04",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.22505",
  "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.GT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7214033638",
  "pdf_url": "https://arxiv.org/pdf/2609.22505",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4va035jsq2c04.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:23:27Z",
      "native_id": "2609.22505",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.22505"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "The proper geometric dimension of the mapping class groups of non-orientable surfaces with punctures",
  "title_text": "The proper geometric dimension of the mapping class groups of non-orientable surfaces with punctures",
  "type": "preprint",
  "updated_at": "2026-10-30T12:23:27Z",
  "url": "https://research.draconitic.com/paper/4va035jsq2c04",
  "venue": "arXiv",
  "versions": []
}