{
  "abstract": "We obtain topological obstructions to the existence of a complete Riemannian metric with uniformly positive scalar curvature on the interiors of certain 4-manifolds using Seiberg--Witten theory. In particular, no punctured blowups of a homotopy K3 manifold admit complete metrics of uniformly positive scalar curvature. Further, let $X$ be a compact oriented smooth manifold of dimension $5$, $6$, or $7$. We show that if $\\operatorname{Int}X$ admits a complete metric of uniformly positive scalar curvature, then $X$ admits a positive scalar curvature metric with minimal boundary. In dimensions $6$ and $7$, the metric may moreover be chosen to be a product near the boundary. In dimension 5, under additional hypotheses and after possibly changing the smooth structure on $X$, one can likewise obtain a positive scalar curvature metric that is a product near the boundary.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.07608",
  "author_total": 1,
  "authors": [
    {
      "name": "Shuli Chen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8abgh5sg94xw4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.07608",
  "fulltext_url": null,
  "id": "8abgh5sg94xw4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.07608",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7221199508",
  "pdf_url": "https://arxiv.org/pdf/2610.07608",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8abgh5sg94xw4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.07608",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.07608"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Uniformly Positive Scalar Curvature on Manifold Interiors",
  "title_text": "Uniformly Positive Scalar Curvature on Manifold Interiors",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/8abgh5sg94xw4",
  "venue": "arXiv",
  "versions": []
}