Analysis of non-trivial homotopy groups in positive curvature metrics across dimensions.
We construct non-trivial elements in the homotopy groups of the observer moduli space of positive sectional curvature metrics on CPⁿ C P n and non-trivial elements in the homotopy groups of the observer moduli space of positive scalar curvature metrics on CP² M⁴ C P 2 ♯ M 4 .
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Thorsten Hertl (2026) studied this question.
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