2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/115050For compact hyperbolic 3-manifolds we lift the Bloch invariant defined by Neumann and Yang to an integral class in K_3(C) Applying the Borel and the Bloch regulators, one gets back the volume and the Chern-Simons invariant of the manifold. We also discuss the non-compact case, in which there appears a Z/2-ambiguity.16 pagesK-Theory and HomologyAlgebraic Topology57M27 (Primary); 19E99, 55N20, 55P43, 57M50 (Secondary)text