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- W2289278318 abstract "We classify, up to diffeomorphism, all closed smooth manifolds homeomorphic to the complex projective $n$-space $mathbb{C}textbf{P}^n$, where $n=3$ and $4$. Let $M^{2n}$ be a closed smooth $2n$-manifold homotopy equivalent to $mathbb{C}textbf{P}^n$. We show that, up to diffeomorphism, $M^{6}$ has a unique differentiable structure and $M^{8}$ has at most two distinct differentiable structures. We also show that, up to concordance, there exist at least two distinct differentiable structures on a finite sheeted cover $N^{2n}$ of $mathbb{C}textbf{P}^n$ for $n=4, 7$ or $8$ and six distinct differentiable structures on $N^{10}$." @default.
- W2289278318 created "2016-06-24" @default.
- W2289278318 creator A5063223599 @default.
- W2289278318 date "2015-10-11" @default.
- W2289278318 modified "2023-09-27" @default.
- W2289278318 title "The classification of smooth structures on a homotopy complex projective space" @default.
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