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

 

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Detalles Bibliográficos
Autor: Zúñiga Rojas, Ronald Alberto
Formato: artículo preliminar
Fecha de Publicación:2020
Descripción:There 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.
País:Kérwá
Institución:Universidad de Costa Rica
Repositorio:Kérwá
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/81732
Acceso en línea:https://arxiv.org/abs/1803.01936
https://hdl.handle.net/10669/81732
Palabra clave:Higgs bundles
Holomorphic triples
Moduli spaces
Variations of Hodge structure