@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-00877310v2> a dcat:Dataset ;
    dct:description """
              We study the deformations of twisted harmonic maps f with respect to a representation. After constructing a continuous "universal" twisted harmonic map, we give a construction of every first order deformation of f in terms of Hodge theory; we apply this result to the moduli space of reductive representations of a Kähler group, to show that the critical points of the energy functional E coincide with the monodromy representations of polarized complex variations of Hodge structure. We then proceed to second order deformations, where obstructions arise; we investigate the existence of such deformations, and give a method for constructing them, as well. Applying this to the energy functional as above, we prove (for every finitely presented group) that the energy functional is strictly pluri sub-harmonic on the moduli space of representations; assuming furthermore that the group is Kähler, we study the eigenvalues of the Hessian of E at critical points.
            """ ;
    dct:identifier "NNT: 2013GRENM032" ;
    dct:issued "2026-05-07T20:11:29.281642"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-07T20:11:29.281647"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Deformations of twisted harmonic maps" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00877310v2/resource/74220808-f1ca-40de-b909-8f8db39d6346> ;
    dcat:keyword "applications-harmoniques-tordues",
        "energy-functional",
        "espaces-de-modules",
        "fibres-de-higgs",
        "fonctionnelle-denergie",
        "groupes-de-kahler",
        "higgs-bundles",
        "infoeu-reposemanticsdoctoralthesis",
        "kahler-groups",
        "moduli-spaces",
        "spiotherengineering-sciences-physicsother",
        "theses",
        "twisted-harmonic-maps",
        "variation-of-hodge-structures",
        "variations-de-structures-de-hodge" ;
    dcat:landingPage <https://theses.hal.science/tel-00877310> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-tel-00877310v2/resource/74220808-f1ca-40de-b909-8f8db39d6346> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-07T20:11:29.298233"^^xsd:dateTime ;
    dct:modified "2026-05-07T20:11:29.266611"^^xsd:dateTime ;
    dct:title "Deformations of twisted harmonic maps" ;
    dcat:accessURL <https://theses.hal.science/tel-00877310> .

<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-00877310> a foaf:Document .

