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Approximate Hermitian–Yang–Mills structures on semistable principal Higgs bundles

TitleApproximate Hermitian–Yang–Mills structures on semistable principal Higgs bundles
Publication TypeJournal Article
Year of Publication2014
AuthorsBruzzo, U, Grana-Otero, B
Abstract

We generalize the Hitchin-Kobayashi correspondence between semistability and the existence of approximate Hermitian-Yang-Mills structures to the case of principal Higgs bundles. We prove that a principal Higgs bundle on a compact Kaehler manifold, with structure group a connected linear algebraic reductive group, is semistable if and only if it admits an approximate Hermitian-Yang-Mills structure.

URLhttp://urania.sissa.it/xmlui/handle/1963/34645
DOI10.1007/s10455-014-9433-1

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