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arXiv · 2510.17527

Non-realizability of a triple Massey product for the algebra $\mathbb{F}_2[a,b,c]/(ab,bc)$

Eivind Xu Djurhuus·Gereon Quick
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Abstract

We show that an often used example of a cohomology algebra with non-vanishing triple Massey product is intrinsically A_3-formal and therefore, in fact, cannot be realized as the cohomology of a differential graded algebra with non-vanishing triple Massey product. We prove this result by computing the graded Hochschild cohomology group which contains the potential obstruction to the vanishing.

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Eivind Xu Djurhuus, Gereon Quick. 2025-10-20. Non-realizability of a triple Massey product for the algebra $\mathbb{F}_2[a,b,c]/(ab,bc)$. https://arxiv.org/abs/2510.17527

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