Strong cohomological rigidity of Bott manifolds

We show that two Bott manifolds are diffeomorphic if and only if their integral cohomology rings are isomorphic as graded rings. In fact, we prove that any graded cohomology ring isomorphism between two Bott manifolds is induced by a diffeomorphism.

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Publication Details

Journal
Advances in Mathematics
Published
2025-04-29
DOI
https://doi.org/10.1016/j.aim.2025.110305
Citations
1
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
4.09

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article

Strong cohomological rigidity of Bott manifolds

Hyeontae Jang, Taekgyu Hwang, Suyoung Choi
1 citations
Advances in Mathematics
Geometric and Algebraic Topology
4.09
article

Strong cohomological rigidity of Bott manifolds

Hyeontae Jang, Taekgyu Hwang, Suyoung Choi
article en
1 citations

Abstract

We show that two Bott manifolds are diffeomorphic if and only if their integral cohomology rings are isomorphic as graded rings. In fact, we prove that any graded cohomology ring isomorphism between two Bott manifolds is induced by a diffeomorphism.

Advances in MathematicsVol. 473
Ajou University (KR)
National Research Foundation of Korea
Climate action
Openalex Percentile: Top 10%
Geometric and Algebraic Topology
4.09
DOIOpen Access PDFOpenAlex
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Strong cohomological rigidity of Bott manifolds — Hyeontae Jang, Taekgyu Hwang, et al. · Advances in Mathematics (2025) | TGRS Research Map | TGRS