{
  "abstract": "Let $X$ be a closed hyperbolic surface. We prove that the number of topological types of primitive closed geodesics of length at most $L$ is asymptotic to \\[ \\frac{1}{|\\Isom(X)|}\\frac{e^L}{2L}. \\] as $L$ grows. Thus Huber's asymptotic remains unchanged after quotienting by topological type, up to the finite symmetry factor coming from the isometry group of $X$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02274",
  "author_total": 2,
  "authors": [
    {
      "name": "Ara Basmajian"
    },
    {
      "name": "Hugo Parlier"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fbr6x61np7rfh.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02274",
  "fulltext_url": null,
  "id": "fbr6x61np7rfh",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.02274",
  "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": "W7207525953",
  "pdf_url": "https://arxiv.org/pdf/2609.02274",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fbr6x61np7rfh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "2609.02274",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02274"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A topological version of Huber's theorem",
  "title_text": "A topological version of Huber's theorem",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/fbr6x61np7rfh",
  "venue": "arXiv",
  "versions": []
}