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On the moduli spaces of metrics with nonnegative sectional curvature

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Abstract

The Kreck–Stolz \(s\) invariant is used to distinguish connected components of the moduli space of positive scalar curvature metrics. We use a formula of Kreck and Stolz to calculate the \(s\) invariant for metrics on \(S^n\) bundles with nonnegative sectional curvature. We then apply it to show that the moduli spaces of metrics with nonnegative sectional curvature on certain 7-manifolds have infinitely many path components. These include certain positively curved Eschenburg and Aloff–Wallach spaces.

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  1. University of Pennsylvania, Philadelphia, USA

    McFeely Jackson Goodman

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Goodman, M.J. On the moduli spaces of metrics with nonnegative sectional curvature. Ann Glob Anal Geom 57, 305–320 (2020). https://doi.org/10.1007/s10455-020-09700-1

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  • DOI: https://doi.org/10.1007/s10455-020-09700-1

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