Hermitian-Einstein connections on polystable orthogonal and symplectic parabolic Higgs bundles
Differential Geometry
2012-05-10 v1 Algebraic Geometry
Abstract
Let X be a smooth complex projective curve and S a finite subset of X. We show that an orthogonal or symplectic parabolic Higgs bundle on X with parabolic structure over S admits a Hermitian-Einstein connection if and only if it is polystable.
Keywords
Cite
@article{arxiv.1202.1765,
title = {Hermitian-Einstein connections on polystable orthogonal and symplectic parabolic Higgs bundles},
author = {Indranil Biswas and Matthias Stemmler},
journal= {arXiv preprint arXiv:1202.1765},
year = {2012}
}
Comments
12 pages, Journal of Geometry and Physics (to appear)