@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00680760v1> a dcat:Dataset ;
    dct:description """
              In the setting of hyperbolic 3-manifolds, Thurston conjectured that every connected, orientable, complete hyperbolic 3-manifold of finite volume has a finite cover fibered over the circle. Having this conjecture in mind, the main result of this thesis provides sufficient conditions for a finite cover of a hyperbolic 3-manifold M to fiber over the circle, or at least to contain a virtual fiber. Let F be an embedded, closed and orientable surface close to a minimal surface, in a finite cover M' of M, such that M' cut along F is a disjoint union of handlebodies and compression bodies. The condition to show that there exists a virtual fiber in the complement of F is given by an inequality involving the degree d of the cover, the genus g of the surface, the number q of compression bodies and a constant k depending only on the volume and the injectivity radius of M. Applying this theorem to a minimal genus Heegaard splitting of the finite cover M' leads to a sub-logarithmic version of Lackenby's conjectures of the Heegaard gradient and the strong Heegaard gradient. The main theorem also applies to the setting of a circular decomposition associated to a non trivial homology class. For example, we obtain sufficient conditions for a non trivial homology class of M to correspond to a fibration over the circle. Similar methods lead also to a sufficient condition for an incompressible embedded surface in M to be a virtual fiber. Eventually, we give a criterion to show that the first Betti number in a tower of finite covers tends to infinity.
            """ ;
    dct:identifier "tel-00680760" ;
    dct:issued "2026-05-24T02:12:20.470394"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-24T02:12:20.470729"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Finite covers of a hyperbolic 3-manifold and virtual fibers." ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00680760v1/resource/a30131fb-c8aa-4bf9-8f8b-0dbbc66a3c74> ;
    dcat:keyword "3-manifolds",
        "cayley-graphs",
        "corps-en-anses",
        "fibrations",
        "finite-covers",
        "geometrie-hyperbolique",
        "graphes-de-cayley",
        "handlebodies",
        "hyperbolic-geometry",
        "infoeu-reposemanticsdoctoralthesis",
        "mathmath-gtmathematics-mathgeometric-topology-mathgt",
        "revetements-finis",
        "theses",
        "varietes-de-dimension-trois" ;
    dcat:landingPage <https://theses.hal.science/tel-00680760> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00680760v1/resource/a30131fb-c8aa-4bf9-8f8b-0dbbc66a3c74> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-24T02:12:21.827374"^^xsd:dateTime ;
    dct:modified "2026-05-24T02:12:20.378490"^^xsd:dateTime ;
    dct:title "Finite covers of a hyperbolic 3-manifold and virtual fibers." ;
    dcat:accessURL <https://theses.hal.science/tel-00680760> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://theses.hal.science/tel-00680760> a foaf:Document .