Classification of Bott Manifolds up to Dimension 8

Author:

Choi Suyoung

Abstract

AbstractWe show that three- and four-stage Bott manifolds are classified up to diffeomorphism by their integral cohomology rings. In addition, any cohomology ring isomorphism between two three-stage Bott manifolds can be realized by a diffeomorphism between the Bott manifolds.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 14 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Strong cohomological rigidity of Hirzebruch surface bundles in Bott towers;Journal of the Mathematical Society of Japan;2024-01-25

2. On Cohomology of Quasitoric Manifolds over a Vertex Cut of a Finite Product of Simplices;Moscow Mathematical Journal;2024

3. Toric Varieties of Schröder Type;Proceedings of the Steklov Institute of Mathematics;2022-06

4. Торические многообразия типа Шрeдера;Trudy Matematicheskogo Instituta imeni V.A. Steklova;2022-06

5. Cohomological rigidity for Fano Bott manifolds;Mathematische Zeitschrift;2022-02-18

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