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

页码：1557 / 1561

页数：5

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