{
  "abstract": "In this paper, we provide a general Sunada--Pesce--Sutton-type method that produces pairs of isospectral metric measure spaces. This construction relies on a representation theoretic assumption, and we give examples of spaces satisfying this condition, such as RCD spaces. As an application, we construct a pair of simply connected isospectral, non-isometric RCD non-Alexandrov spaces and a pair of Alexandrov non-orbifold spaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.28562",
  "author_total": 1,
  "authors": [
    {
      "name": "Lewis Tadman"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0ts5saghnw4cn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28562",
  "fulltext_url": null,
  "id": "0ts5saghnw4cn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.28562",
  "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.MG"
    ],
    [
      "arxiv",
      "math.SP"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7204756861",
  "pdf_url": "https://arxiv.org/pdf/2608.28562",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0ts5saghnw4cn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:28Z",
      "native_id": "2608.28562",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28562"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.MG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "The Sunada method on Metric Measure Spaces",
  "title_text": "The Sunada method on Metric Measure Spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:28Z",
  "url": "https://research.draconitic.com/paper/0ts5saghnw4cn",
  "venue": "arXiv",
  "versions": []
}