Let µ 1, µ 2 ∈ R, since M − ∪ j,kN k j → X − ∪ jNj is an 8 : 1 cover we have ∫ X α ∧ (µ 1β1 + µ 2β2) = 1 8 ∫ M − 2i(µ 1λ 1 − µ 2λ 2)dt ∧ dz1¯ 12¯ 23¯ 3 = 2(µ 1λ 1 − µ 2λ 2)

+ λ 2(dz12¯ 3 + dz¯ 1¯ 23), where f ∗β = β, κ ∗ β = − β

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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 12
Construction of a non-formal compact simply connected G₂-holonomy manifold via non-vanishing triple Massey product from singular locus configuration.