Topology Seminar

I will report on work joint with Florian Naef in which we produce, for a map f of spaces over a space B such that f has compact fibers, a rational model for the fiberwise transfer of fiberwise topological Hochschild homology, considered as a map of parametrized spectra over B. This is motivated by applications to moduli spaces of manifolds: in particular we can detect the vanishing of certain cohomology classes originating from a graph complex via the classifying space of homotopy automorphisms.