TY - RPRT
T1 - Approximate Hermitian-Yang-Mills structures on semistable principal Higgs bundles
Y1 - 2014
A1 - Ugo Bruzzo
A1 - Beatriz Grana-Otero
KW - Principal (Higgs) bundles, semistability, approximate Hermitian-Yang-Mills structures, Kaehler metrics
AB - 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.
PB - SISSA
UR - http://hdl.handle.net/1963/7249
U1 - 7287
U2 - Mathematics
U4 - 1
U5 - MAT/03 GEOMETRIA
ER -