2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78832If M is a compact oriented manifold-with-boundary whose fundamental group is virtually nilpotent or Gromov-hyperbolic, we show that the higher signatures of M are oriented-homotopy invariants.46 pages, some details addedDifferential GeometryOn the homotopy invariance of higher signatures for manifolds with boundarytext