2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61758In this paper we define a secondary Brown-Kervaire quadratic forms. Among the applications we obtain a complete classification of (n-2)-connected 2n-dimensional framed manifolds up to homeomorphism and homotopy equivalence, . In particular, we prove that the homotopy type of such manifolds determine their homeomorphism type.Algebraic TopologySecondary Brown-Kervaire Quadratic forms and $π$-manifoldstext