{
  "abstract": "We prove a localization theorem for exotic diffeomorphisms, showing that every diffeomorphism of a compact simply connected 4-manifold that is isotopic to the identity after stabilizing with one copy of S 2 S 2 is smoothly isotopic to a diffeomorphism that is supported on a contractible submanifold.For those that require more than one copy of S 2 S 2 , we prove that the diffeomorphism can be isotoped to one that is supported in a submanifold homotopy equivalent to a wedge of 2-spheres, with null-homotopic inclusion map.We investigate the implications of these results by applying them to known exotic diffeomorphisms.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics, University of Virginia, Charlottesville, VA, United States",
    "Department of Mathematics, Princeton University, Princeton, NJ, United States",
    "School of Mathematics and Statistics, University of Glasgow, Glasgow, United Kingdom",
    "Department of Mathematics, California Polytechnic State University, San Luis Obispo, CA, United States"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Vyacheslav Krushkal",
      "orcid": "0000-0001-8078-9539"
    },
    {
      "affs": [
        1
      ],
      "name": "Anubhav Mukherjee",
      "orcid": "0000-0001-8814-7493"
    },
    {
      "affs": [
        2
      ],
      "name": "Mark Powell",
      "orcid": "0000-0002-4086-8758"
    },
    {
      "affs": [
        3
      ],
      "name": "Terrin Warren"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/285gwxy7w9cf9.bib",
  "cited_by": 13,
  "doi": "10.2140/gt.2026.30.2297",
  "fulltext_url": null,
  "id": "285gwxy7w9cf9",
  "issns": [
    "1364-0380",
    "1465-3060"
  ],
  "landing_url": "https://doi.org/10.2140/gt.2026.30.2297",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W4400435292",
  "pdf_url": "https://msp.org/gt/2026/30-6/gt-v30-n6-p06-s.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-31",
  "publisher": "Mathematical Sciences Publishers",
  "ris": "https://research.draconitic.com/paper/285gwxy7w9cf9.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T13:21:00Z",
      "native_id": "W4400435292",
      "source": "openalex",
      "url": "https://doi.org/10.2140/gt.2026.30.2297"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Geometric and Algebraic Topology",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Corks for exotic diffeomorphisms",
  "title_text": "Corks for exotic diffeomorphisms",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T13:21:00Z",
  "url": "https://research.draconitic.com/paper/285gwxy7w9cf9",
  "venue": "Geometry & Topology",
  "versions": []
}