Hermitian-Einstein connections on polystable orthogonal and symplectic parabolic Higgs bundles
arXiv:1202.1765 · doi:10.1016/j.geomphys.2012.01.013
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.
12 pages, Journal of Geometry and Physics (to appear)