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Examples of non-formal closed -connected manifolds of dimensions
Authors:Alex N Dranishnikov  Yuli B Rudyak
Institution:Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, Florida 32611-8105 ; Department of Mathematics, University of Florida, 358 Little Hall, Gainesville, Florida 32611-8105
Abstract: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 $H^{3k-1}(M;\mathbb{Q} )$ is generated by Massey products: such examples are useful for the theory of systols.

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