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Strong cohomological rigidity of Bott manifolds
- Authors
- Choi, Suyoung; Hwang, Taekgyu; Jang, Hyeontae
- Issue Date
- Jul-2025
- Publisher
- Academic Press
- Keywords
- Bott manifold; Cohomological rigidity; Strong cohomological rigidity; Toric topology
- Citation
- Advances in Mathematics, v.473
- Indexed
- SCIE
SCOPUS
- Journal Title
- Advances in Mathematics
- Volume
- 473
- ISSN
- 0001-8708
1090-2082
- 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. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.
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