CLASSIFICATION OF BOTT MANIFOLDS UP TO DIMENSION 8

被引：15

作者：

Choi, Suyoung ^{[1
]}

机构：

[1] Ajou Univ, Dept Math, Suwon 443749, South Korea

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2015年 / 58卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Bott tower; Bott manifold; cohomological rigidity; strong cohomological rigidity; RIGIDITY; TOWERS;

D O I：

10.1017/S0013091514000121

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We 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.

引用

页码：653 / 659

页数：7

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