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• W3108652865 abstract "Let $M^d$ be a simply connected spin manifold of dimension $d geq 5$ admitting Riemannian metrics of positive scalar curvature. Denote by $mathcal{R}^+(M^d)$ the space of such metrics on $M^d$. We show that $mathcal{R}^+(M^d)$ is homotopy equivalent to $mathcal{R}^+(S^d)$, where $S^d$ denotes the $d$-dimensional sphere with standard smooth structure. We also show a similar result for simply connected non-spin manifolds $M^d$ with $dgeq 5$ and $dneq 8$. In this case let $W^d$ be the total space of the non-trivial $S^{d-2}$-bundle with structure group $SO(d-1)$ over $S^2$. Then $mathcal{R}^+(M^d)$ is homotopy equivalent to $mathcal{R}^+(W^d)$." @default.
• W3108652865 created "2020-12-07" @default.
• W3108652865 creator A5000175716 @default.
• W3108652865 creator A5016763381 @default.
• W3108652865 date "2023-06-07" @default.
• W3108652865 modified "2023-09-26" @default.
• W3108652865 title "On the homotopy type of the space of metrics of positive scalar curvature" @default.
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• W3108652865 doi "https://doi.org/10.4171/jems/1333" @default.
• W3108652865 hasPublicationYear "2023" @default.
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