{
  "abstract": "We prove that the moment-angle manifold $\\mathcal Z_{\\mathcal K}$ is diffeomorphic to a connected sum of products of spheres when $\\mathcal K$ is a starshaped (in particular, polytopal) 3-dimensional simplicial sphere with exactly two missing edges that are not adjacent to each other. One of the summands of the connected sum is a product of three spheres. For neighbourly starshaped simplicial spheres $\\mathcal K$ of odd dimension, we prove the diffeomorphism $\\mathcal Z_{\\mathcal K} \\cong M_1\\#\\cdots\\# M_k$, where each $M_i$ is a product of two spheres. We give an explicit description of the moment-angle manifolds corresponding to non-polytopal Barnette and Brückner spheres.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.19945",
  "author_total": 2,
  "authors": [
    {
      "name": "Victoria Kovyrshina"
    },
    {
      "name": "Taras Panov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9n6p6pjswe35s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.19945",
  "fulltext_url": null,
  "id": "9n6p6pjswe35s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.19945",
  "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.AT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7213612223",
  "pdf_url": "https://arxiv.org/pdf/2609.19945",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-17",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/9n6p6pjswe35s.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:23Z",
      "native_id": "2609.19945",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.19945"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "New families of moment-angle manifolds diffeomorphic to connected sums of products of spheres",
  "title_text": "New families of moment-angle manifolds diffeomorphic to connected sums of products of spheres",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:23Z",
  "url": "https://research.draconitic.com/paper/9n6p6pjswe35s",
  "venue": "arXiv",
  "versions": []
}