I will explain how the Deligne-Mumford moduli spaces arise from the moduli spaces of framed Riemann surfaces by trivializing the actions of certain S1 families of annuli in an appropriate sense. A variation of this description gives rise to a partial compactification of moduli spaces of Riemann surfaces. I will introduce this partial compactification and discuss some work in progress on using it to define secondary operations on Rabinowitz Floer cohomology and positive symplectic cohomology.