Examples of non-formal closed (k-1)-connected manifolds of dimensions ≥ 4k-1

被引：6
|
作者：
Dranishnikov, AN [1 ]
Rudyak, YB [1 ]
机构：
[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 05期
关键词：
D O I：
10.1090/S0002-9939-04-07639-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct closed (k - 1)-connected manifolds of dimensions greater than or equal to 4k - 1 that possess non-trivial rational Massey triple products. We also construct examples of manifolds M such that all the cup-products of elements of H-k(M) vanish, while the group H3k-1(M; Q) is generated by Massey products: such examples are useful for the theory of systols.
引用
收藏
页码：1557 / 1561
页数：5
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