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The Geography of Non-formal Manifolds

Marisa Fernandez·Vicente Munoz
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Abstract

We show that there exist non-formal compact oriented manifolds of dimension $n$ and with first Betti number $b_1=b\geq 0$ if and only if $n\geq 3$ and $b\geq 2$, or $n\geq (7-2b)$ and $0\leq b\leq 2$. Moreover, we present explicit examples for each one of these cases.

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Marisa Fernandez, Vicente Munoz. 2004-05-20. The Geography of Non-formal Manifolds. https://arxiv.org/abs/math/0404527

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