Abelian homotopy Dijkgraaf-Witten theory
  We 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. 
S. K. Hansen, J. K. Slingerland and P. R. Turner