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• W2894536197 abstract "We show that the space $mathcal{R}^{mathrm{pRc}}(W_g^{2n})$ of metrics with positive Ricci curvature on the manifold $W^{2n}_g := sharp^g (S^n times S^n)$ has nontrivial rational homology if $n not equiv 3 pmod 4$ and $g$ are both sufficiently large. The same argument applies to $mathcal{R}^{mathrm{pRc}}(W_g^{2n} sharp N)$ provided that $N$ is spin and $W_g^{2n} sharp N$ admits a Ricci positive metric." @default.
• W2894536197 created "2018-10-05" @default.
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• W2894536197 date "2018-09-28" @default.
• W2894536197 modified "2023-09-27" @default.
• W2894536197 title "On the topology of the space of Ricci-positive metrics." @default.
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