### Abstract

A Bott manifold is the total space of some iterated ℂℙ^{1} –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 ℂℙ^{1}.

Original language | English |
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Pages (from-to) | 965-986 |

Number of pages | 22 |

Journal | Algebraic and Geometric Topology |

Volume | 15 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2015 Apr 22 |

Externally published | Yes |

### ASJC Scopus subject areas

- Geometry and Topology

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## Cite this

Choi, S., Masuda, M., & Murai, S. (2015). Invariance of pontrjagin classes for bott manifolds.

*Algebraic and Geometric Topology*,*15*(2), 965-986. https://doi.org/10.2140/agt.2015.15.965