Abstract
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.
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