2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61005We describe relations between hyperbolic geometry and codimension two knots or, more exactly, between varieties of conjugacy classes of discrete faithful representations of the fundamental groups of hyperbolic n-manifolds M into $\operatorname{SO}^{\circ} (n+2,1)$ and (n-1)-dimensional knots in the (n+1)-sphere. This approach allows us to discover a phenomenon of non-connectedness of these varieties for closed n-manifolds M, $n\geq 3$, with large enough number of disjoint totally geodesic surfaces, to construct quasisymmetric infinitely compounded "Julia" knots $K\subset S^{n+1}$ which are everywhere wild and have recurrent $π_1(M)$-action, and to study circle and 2-plane bundles (with geometric structures) over closed hyperbolic n-manifolds.AMSppt TeX, 14 pages and 6 figures (in 4 jpeg files not inserted in TeX)Geometric TopologyRepresentation Theory20G05, 22E40, 57M30, 57M60 (Primary) 30C65, 55R10 (Secondary)text