2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/207964We prove the existence of Sasakian-Einstein metrics on infinitely many rational homology spheres in all odd dimensions greater than 3. In dimension 5 we obain somewhat sharper results. There are examples where the number of effective parameters in the Einstein metric grows exponentially with dimension.8 pagesDifferential GeometryHigh Energy Physics - TheoryAlgebraic Geometry53C20,53C12,14E30text