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- W788856718 abstract "A Bott manifold is the total space of some iterated $mathbb C P^1$-bundle 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 $mathbb Z/2$-trivial, where a Bott manifold is called $mathbb Z/2$-trivial if its cohomology ring with $mathbb Z/2$-coefficient is isomorphic to that of a product of $mathbb C P^1$'s." @default.
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- W788856718 date "2015-04-22" @default.
- W788856718 modified "2023-09-25" @default.
- W788856718 title "Invariance of Pontrjagin classes for Bott manifolds" @default.
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- W788856718 doi "https://doi.org/10.2140/agt.2015.15.965" @default.
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