Moduli Spaces of Positive Curvature Metrics in Dimension Four and Beyond

Author:

Thorsten Hertl

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG), Algebraic Geometry (math.AG), Geometric Topology (math.GT)

journal:

date:

2023-10-20 16:00:00

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 $\mathbb{C}P^2 \sharp M^4$.

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