Cohomology, Bocksteins, and resonance varieties in characteristic 2
| Autor: | Suciu, Alexander I. |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Compactifications, Configurations, and Cohomology, 131-157, Contemporary Mathematics, vol. 790, Amer. Math. Soc., Providence, RI, 2023 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1090/conm/790/15861 |
| Popis: | We use the action of the Bockstein homomorphism on the cohomology ring $H^*(X,\mathbb{Z}_2)$ of a finite-type CW-complex $X$ in order to define the resonance varieties of $X$ in characteristic 2. Much of the theory is done in the more general framework of the Maurer-Cartan sets and the resonance varieties attached to a finite-type commutative differential graded algebra. We illustrate these concepts with examples mainly drawn from closed manifolds, where Poincar\'e duality over $\mathbb{Z}_2$ has strong implications on the nature of the resonance varieties. Comment: 25 pages; accepted for publication in Contemporary Mathematics |
| Databáze: | arXiv |
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