## Advances in Theoretical and Mathematical Physics

### Hermitian–Einstein connections on polystable parabolic principal Higgs bundles

#### Abstract

Given a smooth complex projective variety $X$ and a smooth divisor $D$ on $X$, we prove the existence of Hermitian–Einstein connections, with respect to a Poincaré-type metric on $X \setminus D$, on polystable parabolic principal Higgs bundles with parabolic structure over $D$, satisfying certain conditions on their restriction to $D$.

#### Article information

Source
Adv. Theor. Math. Phys., Volume 15, Number 5 (2011), 1503-1521.

Dates
First available in Project Euclid: 10 October 2012