On the first pontrjagin class of homotopy complex projective spaces
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AbstractLet 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.
1990 ◽
Vol 34
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pp. 257-267
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1973 ◽
Vol 73
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pp. 431-438
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2002 ◽
Vol 122
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pp. 487-499
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1986 ◽
Vol 12
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pp. 1-35
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1986 ◽
Vol 12
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pp. 69-73
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1989 ◽
Vol 140
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pp. 251-262
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1986 ◽
pp. 258-289
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