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- W3092367769 abstract "We construct smooth bundles with base and fiber products of two spheres whose total spaces have non-vanishing $hat{A}$-genus. We then use these bundles to locate non-trivial rational homotopy groups of the space of metrics of positive Ricci curvature for all manifolds of dimension $6$ or at least $10$ which admit such a metric and are a connected sum of some manifold and $S^n times S^n$ or $S^n times S^{n+1}$, respectively. We also construct manifolds $M$ whose spaces of metrics of positive scalar curvature have homotopy groups that contain elements of infinite order which lie in the image of the orbit map induced by the push-forward action of the diffeomorphism group." @default.
- W3092367769 created "2020-10-15" @default.
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- W3092367769 date "2020-10-09" @default.
- W3092367769 modified "2023-09-27" @default.
- W3092367769 title "Spaces of metrics of positive Ricci curvature and bundles with non-multiplicative $hat{A}$-genus" @default.
- W3092367769 hasPublicationYear "2020" @default.
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