This implies that q′ ∗ [γ] = 1 because q′ ◦ γ = q′ ◦ γ ′′(s) where γ ′′(s) = { γ(s), if t ≤ 1/ 2, γ − 1(s), if t ≥ 1/ 2, and γ ′′(s) is trivial on M ′

That is, if γ is one of these loops, then κ ◦ γ(s) = γ − 1(s)

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math.DG · 2024-09-06 · unverdicted · novelty 7.0

Construction of a non-formal compact simply connected G₂-holonomy manifold via non-vanishing triple Massey product from singular locus configuration.

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Compact holonomy $\mathrm{G}_2$ manifolds need not be formal math.DG · 2024-09-06 · unverdicted · none · ref 8
Construction of a non-formal compact simply connected G₂-holonomy manifold via non-vanishing triple Massey product from singular locus configuration.