Invariance of pontrjagin classes for bott manifolds

Suyoung Choi, Mikiya Masuda, Satoshi Murai

研究成果: Article査読

12 被引用数 (Scopus)

抄録

A Bott manifold is the total space of some iterated ℂℙ1 –bundles over a point. We prove that any graded ring isomorphism between the cohomology rings of two Bott manifolds preserves their Pontrjagin classes. Moreover, we prove that such an isomorphism is induced from a diffeomorphism if the Bott manifolds are ℤ/2– trivial, where a Bott manifold is called ℤ/2–trivial if its cohomology ring with ℤ/2–coefficients is isomorphic to that of a product of copies of  ℂℙ1.

本文言語English
ページ(範囲)965-986
ページ数22
ジャーナルAlgebraic and Geometric Topology
15
2
DOI
出版ステータスPublished - 2015 4月 22
外部発表はい

ASJC Scopus subject areas

  • 幾何学とトポロジー

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