{
  "abstract": "We compute the rational homology of $\\mathrm{Out}(F_8)$ and $\\mathrm{Aut}(F_7)$, and several related groups. We also show that the Eisenstein classes in $H_7(\\mathrm{Aut}(F_5))$ and $H_{11}(\\mathrm{Aut}(F_7))$ are zero.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.30872",
  "author_total": 3,
  "authors": [
    {
      "name": "Maroš Grego"
    },
    {
      "name": "Tomáš Vítek"
    },
    {
      "name": "Thomas Willwacher"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f1gp37w3jnx2v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.30872",
  "fulltext_url": null,
  "id": "f1gp37w3jnx2v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.30872",
  "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.AT"
    ],
    [
      "arxiv",
      "math.QA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.30872",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f1gp37w3jnx2v.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:57Z",
      "native_id": "2609.30872",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.30872"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.QA",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "The homology of $\\mathrm{Out}(F_8)$ and $\\mathrm{Aut}(F_7)$",
  "title_text": "The homology of Out(F_8) and Aut(F_7)",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:57Z",
  "url": "https://research.draconitic.com/paper/f1gp37w3jnx2v",
  "venue": "arXiv",
  "versions": []
}