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

 

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Autor: Zúñiga Rojas, Ronald Alberto
Médium: artículo preliminar
Datum vydání:2020
Popis: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.
Země:Kérwá
Instituce:Universidad de Costa Rica
Repositorio:Kérwá
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/81732
On-line přístup:https://arxiv.org/abs/1803.01936
https://hdl.handle.net/10669/81732
Klíčové slovo:Higgs bundles
Holomorphic triples
Moduli spaces
Variations of Hodge structure