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

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dc.creatorDranishnikov, Alex N.
dc.creatorRudyak, Yuli B.
dc.date2003-06-20
dc.date2003-11-17
dc.date.accessioned2026-07-07T04:59:05Z
dc.date.available2026-07-07T04:59:05Z
dc.descriptionWe 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.
dc.descriptionLatex, 4 pages, minor changes in extended version
dc.identifierhttps://arxiv.org/abs/math/0306299
dc.identifierhttp://arxiv.org/abs/math/0306299
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67839
dc.subjectAlgebraic Topology
dc.subjectGeometric Topology
dc.subject55S30;55P62
dc.titleExamples of non-formal closed $(k-1)$-connected manifolds of dimensions $4k-1$ and more
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