{
  "abstract": "We consider hyperbolic and anti-de Sitter (AdS) structures on M .0;1/, where M is a d -dimensional Gromov-Thurston manifold.If M has cone angles greater than 2 , we show that there exists a \"quasifuchsian\" (globally hyperbolic maximal) AdS manifold such that the future boundary of the convex core is isometric to M .When M has cone angles less than 2 , there exists a hyperbolic end with boundary a concave pleated surface isometric to M.Moreover, in both cases, if M is a Gromov-Thurston manifold with 2k pieces (as defined below), the moduli space of quasifuchsian AdS structures (resp.hyperbolic ends) satisfying this condition contains a submanifold of dimension 2k 3.When d D 3, the moduli space of quasifuchsian AdS (resp.hyperbolic) manifolds diffeomorphic to M .0;1/ contains a submanifold of dimension 2k 2, and extends up to a \"Fuchsian\" manifold; that is, an AdS (resp.hyperbolic) warped product of a closed hyperbolic manifold by R.We then use this construction of quasifuchsian AdS manifolds to obtain new compact quotients of O.2d; 2/=U.d;1/.The construction uses an explicit correspondence between quasifuchsian .2dC1/dimensionalAdS manifolds and compact quotients of O.2d; 2/=U.d;1/, which we interpret as the space of timelike geodesic Killing fields of AdS 2d C1 .",
  "abstract_shown": true,
  "affiliations": [
    "Université Paris-Saclay, Laboratoire de Mathématiques d’Orsay, Orsay, France",
    "LMO - Laboratoire de Mathématiques d'Orsay (Bâtiment 307, 91405, Orsay cedex - France)",
    "University of Luxembourg, FTSM, Department of Mathematics, Esch-sur-Alzette, Luxembourg",
    "uni.lu - Université du Luxembourg = University of Luxembourg = Universität Luxemburg (Université du Luxembourg [Siège] – 2, place de l’Université – L-4365 Esch-sur-Alzette – Luxembourg - Luxembourg)",
    "CNRS, École Normale Supérieure, PSL, Paris, France",
    "Algèbre et Géométrie (DMA) (45 rue d'Ulm 75005 Paris - France)",
    "CNRS - Centre National de la Recherche Scientifique (France)",
    "ENS-PSL - École normale supérieure - Paris (45, Rue d'Ulm - 75230 Paris cedex 05 - France)"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 3,
  "authors": [
    {
      "affs": [
        0,
        1
      ],
      "name": "Daniel Monclair",
      "orcid": "0009-0000-4683-8341"
    },
    {
      "affs": [
        2,
        3
      ],
      "name": "Jean‐Marc Schlenker",
      "orcid": "0000-0002-0853-4512"
    },
    {
      "affs": [
        4,
        5,
        6,
        7
      ],
      "name": "Nicolas Tholozan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/00b1rnnzzpqvp.bib",
  "cited_by": 13,
  "doi": "10.2140/gt.2026.30.2097",
  "fulltext_url": null,
  "id": "00b1rnnzzpqvp",
  "issns": [
    "1364-0380",
    "1465-3060"
  ],
  "landing_url": "https://doi.org/10.2140/gt.2026.30.2097",
  "language": "en",
  "licence": "CC-BY",
  "licence_label": "CC BY",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W4387802999",
  "pdf_url": "https://msp.org/gt/2026/30-6/gt-v30-n6-p02-s.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-07-31",
  "publisher": "Mathematical Sciences Publishers",
  "ris": "https://research.draconitic.com/paper/00b1rnnzzpqvp.ris",
  "sources": [
    {
      "first_seen": "2026-11-07T13:20:42Z",
      "native_id": "W4387802999",
      "source": "openalex",
      "url": "https://doi.org/10.2140/gt.2026.30.2097"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2608|Geometric and Algebraic Topology",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Gromov–Thurston manifolds and anti-de Sitter geometry",
  "title_text": "Gromov–Thurston manifolds and anti-de Sitter geometry",
  "type": "peer-reviewed",
  "updated_at": "2026-11-09T13:21:00Z",
  "url": "https://research.draconitic.com/paper/00b1rnnzzpqvp",
  "venue": "Geometry & Topology",
  "versions": []
}