상세 보기
초록
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.
키워드
Bott manifold; Cohomological rigidity; Strong cohomological rigidity; Toric topology; TORIC MANIFOLDS; CLASSIFICATION; TOWERS
- 제목
- Strong cohomological rigidity of Bott manifolds
- 저자
- Choi, Suyoung; Hwang, Taekgyu; Jang, Hyeontae
- 발행일
- 2025-07
- 유형
- Article
- 권
- 473