On the behavior of Massey products under field extension
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866909108030930944 |
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| author | Milivojevic, Aleksandar |
| author_facet | Milivojevic, Aleksandar |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_10296 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the behavior of Massey products under field extension Milivojevic, Aleksandar Algebraic Topology Rings and Algebras 55S30, 55P62 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. |
| title | On the behavior of Massey products under field extension |
| topic | Algebraic Topology Rings and Algebras 55S30, 55P62 |
| url | https://arxiv.org/abs/2304.10296 |