Consider the paths ˜γ5, ˜γ6 : [0 , 1] → M, ˜γ5(s) = [1 / 2, [0, 0, s/ 2]], ˜γ6(s) = [1 / 2, [0, 0, is/ 2]]

There is a short exact sequence, {1} → π1(M ) → π1(M ′) → ⟨ ι1, ι2⟩ → { 1}

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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 7
Construction of a non-formal compact simply connected G₂-holonomy manifold via non-vanishing triple Massey product from singular locus configuration.