2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60608Playing off against each other the real and complex structures, we elucidate the local structure of certain representation spaces in the world of Poisson geometry. Particular cases of these spaces arise as moduli spaces of semistable holomorphic vector bundles on Riemann surfaces.AMSTeX 2.1, 16 pagesDifferential GeometryAlgebraic Geometry14L24 14L30 17B63 17B65 17B66 17B81 32C20 32Q15 32S05 32S60 53D17 53D20 53D30 53D50 81S10Singularities and Poisson geometry of certain representation spacestext