2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65802We construct for any algebra over an operad an Hochschild chain complex. In the case of the singular cochain complex of a topological space, considered as a commutative algebra up to homotopy, we show that this complex computes the singular cohomology of the free loop space over this topological space.13 pagesAlgebraic TopologyQuantum Algebra55U35, 18Dxx, 55P15, 55P60text