Non-formal compact manifolds with small Betti numbers

Details Non-formal compact manifolds with small Betti numbers Non-formal compact manifolds with small Betti numbers

2005-04-19

arxiv.org/abs/math/0504396v2

Mathematics

Algebraic Topology

12 pages, no figures, latex2e, minor corrections

Scientific paper

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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