Approximate Hermitian-Yang-Mills structures on semistable principal Higgs bundles
Complex Variables
2016-08-17 v1 Algebraic Geometry
Differential Geometry
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 on a compact Kaehler manifold, with structure group a connected linear algebraic reductive group, is semistable if and only if it admits an approximate Hermitian-Yang-Mills structure.
Keywords
Cite
@article{arxiv.1408.2895,
title = {Approximate Hermitian-Yang-Mills structures on semistable principal Higgs bundles},
author = {Ugo Bruzzo and Beatriz Graña Otero},
journal= {arXiv preprint arXiv:1408.2895},
year = {2016}
}
Comments
16 pages, appears in Ann. Glob. Anal. Appl. 2014. arXiv admin note: text overlap with arXiv:0905.2870