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dc.contributor.authorAlfaya Sánchez, Davides-ES
dc.contributor.authorBiswas, Indraniles-ES
dc.contributor.authorMachu, Francois Xavieres-ES
dc.date.accessioned2026-06-04T04:32:37Z-
dc.date.available2026-06-04T04:32:37Z-
dc.date.issued2026-04-01es_ES
dc.identifier.issn0019-2082es_ES
dc.identifier.urihttps://doi.org/10.1215/00192082-12506444es_ES
dc.descriptionArtículos en revistases_ES
dc.description.abstractGiven a symplectic (resp. orthogonal) parabolic vector bundle over a compact Riemann surface, we prove that its pullback and direct image through a map between compact Riemann surfaces inherit a natural symplectic (resp. orthogonal) structure. If the parabolic bundle is endowed with a parabolic Higgs field or a parabolic connection that are compatible with the symplectic (resp. orthogonal) structure, then its pullback and direct image are also compatible with the resulting symplectic (resp. orthogonal) structure. We also show that these constructions are preserved through the nonabelian Hodge correspondence.es-ES
dc.description.abstractGiven a symplectic (resp. orthogonal) parabolic vector bundle over a compact Riemann surface, we prove that its pullback and direct image through a map between compact Riemann surfaces inherit a natural symplectic (resp. orthogonal) structure. If the parabolic bundle is endowed with a parabolic Higgs field or a parabolic connection that are compatible with the symplectic (resp. orthogonal) structure, then its pullback and direct image are also compatible with the resulting symplectic (resp. orthogonal) structure. We also show that these constructions are preserved through the nonabelian Hodge correspondence.en-GB
dc.format.mimetypeapplication/pdfes_ES
dc.language.isoen-GBes_ES
dc.sourceRevista: Illinois Journal of Mathematics, Periodo: 1, Volumen: online, Número: 1, Página inicial: 53, Página final: 76es_ES
dc.subject.otherInstituto de Investigación Tecnológica (IIT)es_ES
dc.titlePullback and direct image of parabolic Higgs bundles and parabolic connections with symplectic and orthogonal structureses_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.description.versioninfo:eu-repo/semantics/publishedVersiones_ES
dc.rights.holderes_ES
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses_ES
dc.keywordsParabolic symplectic bundle, parabolic orthogonal bundle, nonabelian Hodge correspondence, pullback, direct image, semistability; Fibrado simpléctico parabólico, fibrado ortogonal parabólico, correspondencia de Hodge no abeliana, imagen directa, semiestabilidad.es-ES
dc.keywordsParabolic symplectic bundle, parabolic orthogonal bundle, nonabelian Hodge correspondence, pullback, direct image, semistability; Fibrado simpléctico parabólico, fibrado ortogonal parabólico, correspondencia de Hodge no abeliana, imagen directa, semiestabilidad.en-GB
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