Variations of Hodge Structures of Rank Three k-Higgs Bundles and Moduli Spaces of Holomorphic Triples
artículo preliminar
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Date
2020Author
Zúñiga Rojas, Ronald Alberto
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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.
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