Hermitian-Einstein connections on polystable orthogonal and symplectic parabolic Higgs bundles

Details Hermitian-Einstein connections on polystable orthogonal and symplectic parabolic Higgs bundles Hermitian-Einstein connections on polystable orthogonal and symplectic parabolic Higgs bundles

2012-02-08

arxiv.org/abs/1202.1765v1

Mathematics

Differential Geometry

12 pages, Journal of Geometry and Physics (to appear)

Scientific paper

10.1016/j.geomphys.2012.01.013

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.

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