Non-3-equal manifolds M^(3)_d(n) are rationally formal if and only if n ≤ 6 for d ≥ 2.
Intersection theory , volume 2 of Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)]
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The rational (non-)formality of the non-3-equal manifolds
Non-3-equal manifolds M^(3)_d(n) are rationally formal if and only if n ≤ 6 for d ≥ 2.