{
  "abstract": "We determine the large-genus order of the Weil-Petersson diameter of $\\mathcal{M}_{g,n}$ for each fixed number of punctures: namely, $\\mathrm{diam}(\\mathcal{M}_{g,n})\\asymp\\sqrt g\\log g$. The main new ingredient is an integrated Ricci estimate for geodesics that minimize in moduli space and have thick endpoints, with no systole bound along their interiors.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.19707",
  "author_total": 1,
  "authors": [
    {
      "name": "Yunhui Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5pgs336ce0bc8.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.19707",
  "fulltext_url": null,
  "id": "5pgs336ce0bc8",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.19707",
  "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.DG"
    ],
    [
      "arxiv",
      "math.GT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7222015871",
  "pdf_url": "https://arxiv.org/pdf/2610.19707",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5pgs336ce0bc8.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:35Z",
      "native_id": "2610.19707",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.19707"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "The Weil-Petersson diameter of moduli space for large genus",
  "title_text": "The Weil-Petersson diameter of moduli space for large genus",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/5pgs336ce0bc8",
  "venue": "arXiv",
  "versions": []
}