{
  "abstract": "For a proper cocompact action of a finitely generated discrete group $Γ$ on a spin manifold $M$, the higher localised $\\widehat{A}$-genera $\\widehat{A}_g(M,ω)$ introduced earlier by the author and Mathai were shown to be an obstruction to $Γ$-invariant metrics of positive scalar curvature, for $ω$ arising from the subring of $H^*(\\underline{B}Γ,\\mathbb{R})$ generated by elements of degree at most $2$, under the assumptions that the fixed-point set $M^g$ is connected and that $g$ is regular with respect to a certain real group $2$-cocycle. We show that both assumptions can be dropped.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07833",
  "author_total": 1,
  "authors": [
    {
      "name": "Hao Guo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4my1k67dntsc2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07833",
  "fulltext_url": null,
  "id": "4my1k67dntsc2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07833",
  "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.DG"
    ],
    [
      "arxiv",
      "math.KT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7220895365",
  "pdf_url": "https://arxiv.org/pdf/2610.07833",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4my1k67dntsc2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:19Z",
      "native_id": "2610.07833",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07833"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.KT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Higher localised $\\widehat{A}$-genera: a note on disconnected fixed-point sets",
  "title_text": "Higher localised Â-genera: a note on disconnected fixed-point sets",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/4my1k67dntsc2",
  "venue": "arXiv",
  "versions": []
}