{
  "abstract": "We obtain a slight improvement to the trilinear bound of Guth-Zahl by application of Wang-Zahl's resolution of 3-D Kakeya to tubes inside a thickened neighborhood of a variety. This is combined with the planebrush argument of Katz and Zahl to obtain the new bound of 3.073.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.12480",
  "author_total": 1,
  "authors": [
    {
      "name": "Mukul Rai Choudhuri"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e3aacms6r59rd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.12480",
  "fulltext_url": null,
  "id": "e3aacms6r59rd",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.12480",
  "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.CA"
    ],
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      "openalex",
      "2604|Advanced Harmonic Analysis Research"
    ]
  ],
  "openalex": "W7221534614",
  "pdf_url": "https://arxiv.org/pdf/2610.12480",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e3aacms6r59rd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.12480",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.12480"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "New bound on the Hausdorff dimension of Kakeya sets in $\\mathbb{R}^4$",
  "title_text": "New bound on the Hausdorff dimension of Kakeya sets in ℝ^4",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/e3aacms6r59rd",
  "venue": "arXiv",
  "versions": []
}