2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/145818We employ Massey products to find sharper lower bounds for the Schwarz genus of a fibration than those previously known. In particular we give examples of non-formal spaces $X$ for which the topological complexity $\TC(X)$ (defined to be the genus of the free path fibration on $X$) is greater than the zero-divisors cup-length plus one.11 pages; minor revisions and 1 added reference; to appear in the Proceedings of the M. M. Postnikov Memorial ConferenceAlgebraic TopologyOptimization and Control55M99, 55S30 (Primary); 68T40 (Secondary)text