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

Mathematics – Algebraic Topology

Scientific paper

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Latex, 4 pages, minor changes in extended version

Scientific paper

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.

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