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Non-formal compact manifolds with small Betti numbers

Marisa Fernandez·Vicente Muñoz
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Abstract

We show that, for any $k\geq 1$, there exist non-formal compact orientable $(k-1)$-connected $n$-manifolds with $k$-th Betti number $b_k=b\geq 0$ if and only if $n\geq \max \{4k-1, 4k+3-2b\}$.

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Marisa Fernandez, Vicente Muñoz. 2006-05-15. Non-formal compact manifolds with small Betti numbers. https://arxiv.org/abs/math/0504396

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