%0 Journal Article %D 2014 %T Approximate Hitchin-Kobayashi correspondence for Higgs G-bundles %A Ugo Bruzzo %A Beatriz Graña Otero %X 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. %I World Scientific Publishing %G en %U http://urania.sissa.it/xmlui/handle/1963/35095 %1 35350 %2 Mathematics %4 1 %$ Approved for entry into archive by Maria Pia Calandra (calapia@sissa.it) on 2015-12-02T12:29:37Z (GMT) No. of bitstreams: 0 %R 10.1142/S0219887814600159