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The first Pontrjagin classes of homotopy complex projective spaces (1612.01665v1)
Published 6 Dec 2016 in math.GT
Abstract: Let $M{2n}$ be a closed smooth manifold homotopy equivalent to the complex projective space $\mathbb{C}P(n)$. The purpose of this paper is to show that when $n$ is even, the difference of the first Pontrjagin classes between $M{2n}$ and $\mathbb{C}P(n)$ is divisible by 16.
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