Moduli spaces of positive curvature metrics in dimension four and beyond

Key Points

• The research aims to identify non-trivial elements in the homotopy groups of moduli spaces related to positive curvature metrics.
• Constructed elements in the observer moduli space of positive sectional curvature metrics on complex projective spaces.
• Examined positive scalar curvature metrics on the connected sum of specific manifolds.
• Established non-trivial elements in the homotopy groups for positive sectional curvature metrics on CP^n.
• Identified non-trivial elements for positive scalar curvature metrics on CP^2 connected with M^4.