  The Kreck-Stolz s invariant is used to distinguish connected components of
the moduli space of positive scalar curvature metrics. We use a formula of
Kreck and Stolz to calculate the s invariant for metrics on S^n bundles with
nonnegative sectional curvature. We then apply it to show that the moduli
spaces of metrics with nonnegative sectional curvature on certain 7-manifolds
have infinitely many path components. These include the first non-homogeneous
examples of this type and certain positively curved Eschenburg and
Aloff-Wallach spaces.
