论文标题
特征2
Cohomology, Bocksteins, and resonance varieties in characteristic 2
论文作者
论文摘要
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有限型交换差级级代数。我们用主要来自封闭的歧管绘制的示例来说明这些概念，其中Poincaré二元性超过$ \ Mathbb {Z} _2 $对共振品种的性质具有很大的影响。
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 Poincaré duality over $\mathbb{Z}_2$ has strong implications on the nature of the resonance varieties.
