Examples of non-formal closed $(k-1)$-connected manifolds of dimensions $4k-1$ and more

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We construct closed $(k-1)$-connected manifolds of dimensions $\ge 4k-1$ 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 $H^{3k-1}(M;\Q)$ is generated by Massey products: such examples are useful for theory of systols.
Latex, 4 pages, minor changes in extended version

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Algebraic Topology, Geometric Topology, 55S30;55P62

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http://salesiana.dossiersoluciones.com/handle/123456789/67839

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306299
 http://arxiv.org/abs/math/0306299

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arXiv