On the first pontrjagin class of homotopy complex projective spaces |
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| Authors: | Yasuhiko Kitada |
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| Institution: | 1.Department of Electrical and Computer Engineering Graduate School of Engineering,Yokohama National University,Yokohama,Japan |
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| Abstract: | Let M
2n
be a closed smooth manifold homotopy equivalent to the complex projective space ℂP(n). It is known that the first Pontrjagin class p
1(M) of M
2n
has the form (n+1+24α(M))u
2 for some integer α(M) where u is a generator of H
2(M; ℤ). We prove that α(M) is even when n is even but not divisible by 64. |
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| Keywords: | |
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