The moduli space of flat G-bundles on a compact hyper-Kahler manifold
arXiv:math/0506175
Abstract
We prove that if G is a compact connected Lie group and X is a compact connected hyper-Kahler manifold, then the L^2 metric on (the smooth locus of) the moduli space of flat G-bundles on X is a hyper-Kahler metric.
LaTeX, 4 pages. All comments are welcome