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Variations of Hodge Structures of Rank Three k-Higgs Bundles and Moduli Spaces of Holomorphic Triples

dc.creatorZúñiga Rojas, Ronald Alberto
dc.date.accessioned2020-10-26T22:05:13Z
dc.date.available2020-10-26T22:05:13Z
dc.date.issued2020
dc.date.updated2020-10-12T17:20:57Z
dc.description.abstractThere is an isomorphism between the moduli spaces of σ-stable holomorphic triples and some of the critical submanifolds of the moduli space of k-Higgs bundles of rank three, whose elements (E, ϕk ) correspond to variations of Hodge structure, VHS. There are special embeddings on the moduli spaces of k-Higgs bundles of rank three. The main objective here is to study the cohomology of the critical submanifolds of such moduli spaces, extending those embeddings to moduli spaces of holomorphic triples.es
dc.description.procedenceUCR::Vicerrectoría de Docencia::Ciencias Básicas::Facultad de Ciencias::Escuela de Matemáticaes
dc.description.procedenceUCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de Investigaciones en Matemática y Meta-Matemática (CIMM)es
dc.identifier.citationhttps://arxiv.org/abs/1803.01936
dc.identifier.urihttps://hdl.handle.net/10669/81732
dc.language.isoen_US
dc.rightsacceso abierto
dc.sourcearXivLabs, pp.1-35es
dc.subjectHiggs bundleses
dc.subjectHolomorphic tripleses
dc.subjectModuli spaceses
dc.subjectVariations of Hodge structurees
dc.titleVariations of Hodge Structures of Rank Three k-Higgs Bundles and Moduli Spaces of Holomorphic Tripleses
dc.typeartículo preliminar

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