Moduli Spaces of Positive Curvature Metrics in Dimension Four and Beyond

2023/10/21 by Thorsten Hertl, Hertl, Thorsten
Mathematics · Physics and Astronomy · #53C21 #55Q52 #55R15 #57R22 #58D27 #Advanced Differential Geometry Research #Advanced Operator Algebra Research #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT)

paper · pdf · doi:10.48550/arxiv.2310.14115

openalex publication_date 2023/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct non-trivial elements in the homotopy groups of the observer moduli space of positive sectional curvature metrics on ℂPⁿ and non-trivial elements in the homotopy groups of the observer moduli space of positive scalar curvature metrics on ℂP² \sharp M⁴.

Related

• Moduli space of metrics of nonnegative sectional or positive Ricci\n curvature on homotopy real projective spaces
• Higher rho invariants and the moduli space of positive scalar curvature metrics
• On the moduli space of positive Ricci curvature metrics on homotopy spheres
• Moduli Spaces of Metrics of Positive Scalar Curvature on Topological Spherical Space Forms
• A generalization of the Perelman gluing theorem and applications