{
  "abstract": "We completely characterize the $n$-fold connected sums of $S^3\\times S^4$ that admit Sasaki-Einstein structures by proving that such a structure exists if and only if $n$ is even.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29695",
  "author_total": 4,
  "authors": [
    {
      "name": "Dasol Jeong"
    },
    {
      "name": "In-Kyun Kim"
    },
    {
      "name": "Jihun Park"
    },
    {
      "name": "Joonyeong Won"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ep0aczke8pset.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29695",
  "fulltext_url": null,
  "id": "ep0aczke8pset",
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  "landing_url": "https://arxiv.org/abs/2608.29695",
  "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.AG"
    ],
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      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
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  "openalex": "W7204890700",
  "pdf_url": "https://arxiv.org/pdf/2608.29695",
  "pmcid": null,
  "pmid": null,
  "published": "2026-08-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ep0aczke8pset.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:48Z",
      "native_id": "2608.29695",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29695"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Sasaki-Einstein metrics on connected sums of $S^3\\times S^4$",
  "title_text": "Sasaki-Einstein metrics on connected sums of S^3× S^4",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:48Z",
  "url": "https://research.draconitic.com/paper/ep0aczke8pset",
  "venue": "arXiv",
  "versions": []
}