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arXiv · 2304.10296

On the behavior of Massey products under field extension

Aleksandar Milivojevic
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Abstract

We show that global vanishing of Massey products on a commutative differential graded algebra is not invariant under field extension. Non-vanishing triple Massey products remain non-vanishing upon field extension, while higher Massey products can generally vanish. If the field being extended is algebraically closed, all non-vanishing Massey products remain non-vanishing on a finite type commutative differential graded algebra.

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Aleksandar Milivojevic. 2023-04-20. On the behavior of Massey products under field extension. https://arxiv.org/abs/2304.10296

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