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- W3046002705 abstract "We explain the existence of a smooth ${bf H}P^2$-bundle over $S^4$ whose total space has nontrivial $hat{A}$-genus. Combined with an argument going back to Hitchin, this answers a question of Schick and implies that the space of Riemannian metrics of positive sectional curvature on a closed manifold can have nontrivial higher rational homotopy groups." @default.
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- W3046002705 date "2020-07-29" @default.
- W3046002705 modified "2023-09-27" @default.
- W3046002705 title "An ${bf H}P^2$-bundle over $S^4$ with nontrivial $hat{A}$-genus" @default.
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