. . . . . . "Cocycle Constructions for Topological Field Theories" . . . . "In this thesis, we explore a chain-level construction in smooth Deligne cohomology that produces data for extended topological field theories. For closed oriented manifolds $Sigma$, this construction takes the form of a chain map $tau_Sigma$ from the smooth v{C}ech-Deligne complex on a manifold $X$ to a degree-shifted version of the same complex on the mapping space $X^Sigma$. More generally, if $Sigma$ has boundary $partial Sigma$, the construction produces a chain null-homotopy of the chain map $tau_{partial Sigma}$ associated to the boundary." . .