Strong cohomological rigidity of Bott manifolds

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-04-29 DOI:10.1016/j.aim.2025.110305

Suyoung Choi , Taekgyu Hwang , Hyeontae Jang

引用次数: 0

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.

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Bott流形的强上同调刚性

证明两个博特流形是微分同构的当且仅当它们的整上同构环是等分环。事实上，我们证明了两个博特流形之间的任何分级上同环同构都是由一个微分同构引起的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.