Moduli space of nonnegatively curved metrics on manifolds of dimension \(4k+1\) (Q2133957)

In this paper the author gives examples of closed manifolds of dimension \(4k +1\), for \(k \geq 2\), for which the moduli spaces of metrics of nonnegative sectional curvature have infinitely many path components. The fundamental group of these manifolds is \(\mathbb{Z}_2\). Examples of manifolds with property and finite fundamental group were known only in dimension 5 and for dimensions \(k \in \mathbb{N}\), with \(4k + 3 \geq 7\).