{
  "abstract": "We prove the linear stability of an embedded mean curvature flow shrinker in $\\mathbb R^4$ with the topology of the Möbius bundle. This provides a non-flat, non-spherical stable shrinker in higher codimension, in sharp contrast with the classification of stable hypersurface shrinkers. Topologically, the Möbius shrinker models the reversal of a real blow-up, suggesting that stable higher-codimension singularities may encode non-trivial topological operations under mean curvature flow.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.19648",
  "author_total": 3,
  "authors": [
    {
      "name": "Kahnrad Braxton"
    },
    {
      "name": "Tang-Kai Lee"
    },
    {
      "name": "Jonathan J. Zhu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/19t8kcgjwby3m.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.19648",
  "fulltext_url": null,
  "id": "19t8kcgjwby3m",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.19648",
  "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"
    ],
    [
      "openalex",
      "2604|Geometric Analysis and Curvature Flows"
    ]
  ],
  "openalex": "W7213584041",
  "pdf_url": "https://arxiv.org/pdf/2609.19648",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/19t8kcgjwby3m.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:23Z",
      "native_id": "2609.19648",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.19648"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A stable self-shrinking Möbius bundle in $\\mathbb R^4$",
  "title_text": "A stable self-shrinking Möbius bundle in ℝ^4",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:23Z",
  "url": "https://research.draconitic.com/paper/19t8kcgjwby3m",
  "venue": "arXiv",
  "versions": []
}