@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-hal-00087981v1> a dcat:Dataset ;
    dct:description """
              Let $M$ be a compact manifold with a metric $g$ and with a fixed spin structure $\\chi$. Let $\\lambda_1^+(g)$ be the first non-negative eigenvalue of the Dirac operator on $(M,g,\\chi)$. We set $$\\tau(M,\\chi):= \\sup \\inf \\lambda_1^+(g)$$ where the infimum runs over all metrics $g$ of volume $1$ in a conformal class $[g_0]$ on $M$ and where the supremum runs over all conformal classes $[g_0]$ on $M$. Let $(M^\\#,\\chi^\\#)$ be obtained from $(M,\\chi)$ by $0$-dimensional surgery. We prove that $$\\tau(M^\\#,\\chi^\\#)\\geq \\tau(M,\\chi).$$ As a corollary we can calculate $\\tau(M,\\chi)$ for any Riemann surface $M$.
            """ ;
    dct:identifier "hal-00087981" ;
    dct:issued "2026-05-09T03:49:53.890027"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-09T03:49:53.890032"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "The spinorial $\\tau$-invariant and 0-dimensional surgery" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00087981v1/resource/314869ff-114c-4e99-aa1a-dab028557c75> ;
    dcat:keyword "53c27-primary-58j05-57r65-secondary",
        "conformal-geometry",
        "dirac-operators",
        "gluing-formula",
        "infoeu-reposemanticspreprint",
        "mathmath-dgmathematics-mathdifferential-geometry-mathdg",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00087981> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00087981v1/resource/314869ff-114c-4e99-aa1a-dab028557c75> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-09T03:49:53.891860"^^xsd:dateTime ;
    dct:modified "2026-05-09T03:49:53.880260"^^xsd:dateTime ;
    dct:title "The spinorial $\\tau$-invariant and 0-dimensional surgery" ;
    dcat:accessURL <https://hal.science/hal-00087981> .

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

<https://hal.science/hal-00087981> a foaf:Document .