A survey of other results

Abstract

In this chapter we present a diverse selection of results about spaces and moduli spaces of metrics, which stand to some extent outside the themes developed in this book so far. The first section concerns the work of Botvinnik and Gilkey on moduli spaces of positive scalar curvature metrics for spin manifolds in odd dimensions with finite fundamental groups. This topic is the most closely related to subject matter presented earlier in that it involves index theory, and in particular utilizes the eta invariant in a significant way.