# Invariance of pontrjagin classes for bott manifolds

Suyoung Choi, Mikiya Masuda, Satoshi Murai

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 965-986 22 Algebraic and Geometric Topology 15 2 https://doi.org/10.2140/agt.2015.15.965 Published - 2015 4月 22 はい

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