Moduli Spaces of Positive Curvature Metrics in Dimension Four and Beyond

Abstract

We construct non-trivial elements in the homotopy groups of the observer moduli space of positive sectional curvature metrics on $\mathbb{C}{P}^n$ and non-trivial elements in the homotopy groups of the observer moduli space of positive scalar curvature metrics on $\mathbb{C}{P}^2♯M^4$.

24 pages, v2: improved results and more detailed presentation in Section 2. To appear in Mathematische Zeitschrift