CLASSIFICATION OF BOTT MANIFOLDS UP TO DIMENSION 8

被引：14
|
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
收藏
页码：653 / 659
页数：7
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