  We study the homology of free loop spaces via techniques arising from the
theory of topological coHochschild homology (coTHH). Topological coHochschild
homology is a topological analogue of the classical theory of coHochschild
homology for coalgebras. We produce new spectrum-level structure on coTHH of
suspension spectra as well as new algebraic structure in the coB\"okstedt
spectral sequence for computing coTHH. These new techniques allow us to compute
the homology of free loop spaces in several new cases, extending known
calculations.
