2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75449We 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 welcomeDifferential GeometrySymplectic Geometrytext