Examples of non-formal closed (k-1)-connected manifolds of dimensions 4k-1 and more
Dranishnikov, Alex N. · Rudyak, Yuli B.
Original · EN
We construct closed (k-1)-connected manifolds of dimensions ≥ 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 Hᵏ(M) vanish, while the group H³ᵏ⁻¹(M;) is generated by Massey products: such examples are useful for theory of systols.
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