{
  "abstract": "We survey computations and tools concerning the mapping class group of a compact, oriented, connected 3-manifold $M$. We provide a guide to the literature and sketch proofs for various families of irreducible and geometric 3-manifolds. We also consider JSJ and prime decompositions of 3-manifolds, and consequences for their mapping class groups.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.00233",
  "author_total": 11,
  "authors": [
    {
      "name": "Philipp Bader"
    },
    {
      "name": "Rachael Boyd"
    },
    {
      "name": "Giulia Carfora"
    },
    {
      "name": "Gabriel Corrigan"
    },
    {
      "name": "Daniel Galvin"
    },
    {
      "name": "Csaba Nagy"
    },
    {
      "name": "John Nicholson"
    },
    {
      "name": "Weizhe Niu"
    },
    {
      "name": "Isacco Nonino"
    },
    {
      "name": "Mark Pencovitch"
    },
    {
      "name": "Mark Powell"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7cwb9z7nbdv3x.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.00233",
  "fulltext_url": null,
  "id": "7cwb9z7nbdv3x",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.00233",
  "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.GT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
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  ],
  "openalex": "W7206202693",
  "pdf_url": "https://arxiv.org/pdf/2609.00233",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7cwb9z7nbdv3x.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:04Z",
      "native_id": "2609.00233",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.00233"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A survey on mapping class groups of 3-manifolds",
  "title_text": "A survey on mapping class groups of 3-manifolds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:04Z",
  "url": "https://research.draconitic.com/paper/7cwb9z7nbdv3x",
  "venue": "arXiv",
  "versions": []
}