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On the first Pontrjagin class of homotopy complex projective spaces

In: Mathematica Slovaca, vol. 62, no. 3
Yasuhiko Kitada
Detaily:
Rok, strany: 2012, 551 - 566
Kľúčové slová:
closed smooth manifold homotopy, complex projective space, homotopy projective space, first Pontrjagin class, power series, power series expansion, Laurent series, Bernoulli numbers
O článku:
Let $M2n$ be a closed smooth manifold homotopy equivalent to the complex projective space $\mathbb{C}P(n)$. It is known that the first Pontrjagin class $p1(M)$ of $M2n$ has the form $(n+1+24α(M))u2$ for some integer $α(M)$ where $u$ is a generator of $H2(M;\mathbb{Z})$. We prove that $α(M)$ is even when $n$ is even but not divisible by $64$.
Ako citovať:
ISO 690:
Kitada, Y. 2012. On the first Pontrjagin class of homotopy complex projective spaces. In Mathematica Slovaca, vol. 62, no.3, pp. 551-566. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0030-0

APA:
Kitada, Y. (2012). On the first Pontrjagin class of homotopy complex projective spaces. Mathematica Slovaca, 62(3), 551-566. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0030-0
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