Non-realizability of a triple Massey product for the algebra $\mathbb{F}_2[a,b,c]/(ab,bc)$
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911451602485248 |
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| author | Djurhuus, Eivind Xu Quick, Gereon |
| author_facet | Djurhuus, Eivind Xu Quick, Gereon |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_17527 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-realizability of a triple Massey product for the algebra $\mathbb{F}_2[a,b,c]/(ab,bc)$ Djurhuus, Eivind Xu Quick, Gereon Algebraic Topology K-Theory and Homology 55S30, 16E40, 16E45, 16S37 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. |
| title | Non-realizability of a triple Massey product for the algebra $\mathbb{F}_2[a,b,c]/(ab,bc)$ |
| topic | Algebraic Topology K-Theory and Homology 55S30, 16E40, 16E45, 16S37 |
| url | https://arxiv.org/abs/2510.17527 |