Path-component invariants for spaces of positive scalar curvature metrics

Abstract

The Kreck-Stolz $s$-invariant is a classic path-component invariant for the space and moduli space of positive scalar curvature metrics. It is an absolute (as opposed to relative) invariant, but this strength comes at the expense of being defined only under restrictive topological conditions. The aim of this paper is to construct an analogous invariant for certain product manifolds on which the $s$-invariant is not defined.

Compared to the previous version of this paper, the proofs of Corollary 2.15 and Theorem 0.3 have been expanded to include more detail, greater attention is given to the role of orientation around 2.16, and some minor typos have been fixed

References in corpus (2)

• Infinite loop spaces and positive scalar curvature
• The topology of positive scalar curvature

Cited by in corpus (1)

• On the topology of moduli spaces of non-negatively curved Riemannian metrics