The Geometry of Loop Spaces II: Corrections

Abstract

This paper contains corrections to Madea, Rosenberg, Torres-Ardila, "The Geometry of Loop Spaces II: Characteristic Classes," Advances in Math. (287), 2016, 485-518. The main change is that results about $\ddot{I}{€}_1(\mathrm{Diff}(M))$ are replaced by results about $\ddot{I}{€}_1(\mathrm{Isom}(M))$, where Diff$(M)$, Isom$(M)$ refer to the diffeomorphism and isometry group of the manifold $M$.