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Approximate Hitchin-Kobayashi correspondence for Higgs G-bundles

TitleApproximate Hitchin-Kobayashi correspondence for Higgs G-bundles
Publication TypeJournal Article
Year of Publication2014
AuthorsBruzzo, U, Otero, BGraña
Abstract

We announce a result about the extension of the Hitchin-Kobayashi correspondence to principal Higgs bundles. A principal Higgs bundle on a compact Kähler 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/1963/35095
DOI10.1142/S0219887814600159

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