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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 TypePreprint
2014
AuthorsBruzzo, U, Grana-Otero, B
InstitutionSISSA
Principal (Higgs) bundles, semistability, approximate Hermitian-Yang-Mills structures, Kaehler metrics

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 $\fE$ on a compact K\"ahler manifold, with structure group a connected linear algebraic reductive group $G$, is semistable if and only if it admits an approximate Hermitian-Yang-Mills structure.

http://hdl.handle.net/1963/7249

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