2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/139607We investigate the conjectural relations between the Reshetikhin-Turaev-Witten quantum SU(2) invariants and the volume of hyperbolic 3-manifolds. Given a finite set of sufficiently large positive integers, say J, we construct examples of closed hyperbolic 3-manifolds with the same invariants at all levels in J and different volume.8 pages, 1 figure: Added "Concluding Remarks" and additional references. Final version; to appear in the Journal of Knot Theory and its RamificationsGeometric TopologyQuantum Algebra57M25, 57N10text