2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/97914We construct a version of Dijkgraaf-Witten theory based on a compact abelian Lie group within the formalism of Turaev's homotopy quantum field theory. As an application we show that the 2+1-dimensional theory based on U(1) classifies lens spaces up to homotopy type.23 pages, 1 figureQuantum AlgebraHigh Energy Physics - Theory57R56text