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 $ E$ 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. © 2014, Springer Science+Business Media Dordrecht.
Approximate Hermitian-Yang-Mills structures on semistable principal Higgs bundles / Bruzzo, U.; Otero Graña, B.. - In: ANNALS OF GLOBAL ANALYSIS AND GEOMETRY. - ISSN 0232-704X. - 47:1(2015), pp. 1-11. [10.1007/s10455-014-9433-1]
Approximate Hermitian-Yang-Mills structures on semistable principal Higgs bundles
Bruzzo, U.;
2015-01-01
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 $ E$ 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. © 2014, Springer Science+Business Media Dordrecht.| File | Dimensione | Formato | |
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