{
  "abstract": "We construct a new explicit toric ALF gravitational instanton. The instanton has Euler characteristic $χ= 4$ and Hirzebruch signature $τ= 1$. The topology at infinity is a lens space $L(3,1)$. The solution depends on one parameter and is constructed from the Belinski--Zakharov four-soliton solution. We prove that the instanton is smooth and positive definite on and away from the axis. This is the first example of a non-Hermitian ALF (not AF) gravitational instanton.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.03221",
  "author_total": 1,
  "authors": [
    {
      "name": "Alfie Jones"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cwgn3n5vanpxm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.03221",
  "fulltext_url": null,
  "id": "cwgn3n5vanpxm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.03221",
  "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",
      "gr-qc"
    ],
    [
      "arxiv",
      "hep-th"
    ],
    [
      "arxiv",
      "math.DG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.03221",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cwgn3n5vanpxm.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:04Z",
      "native_id": "2611.03221",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.03221"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "physics",
      "origin": "arxiv:gr-qc",
      "subfield": "gravitation"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "A new toric ALF gravitational instanton",
  "title_text": "A new toric ALF gravitational instanton",
  "type": "preprint",
  "updated_at": "2026-11-03T12:21:14Z",
  "url": "https://research.draconitic.com/paper/cwgn3n5vanpxm",
  "venue": "arXiv",
  "versions": []
}