论文标题
穿刺品种上配置空间的共同体学
Cohomology of configuration spaces on punctured varieties
论文作者
论文摘要
在配置空间的理论中，“拆分”通常是指歧管上的配置空间及其刺穿版本上的配置空间在同步上密切相关的现象。我们证明了一种刻板定理，是均等和混合霍奇理论的。两者都是此类结果的新功能。作为一个应用程序，我们确定了多函数椭圆曲线的无序配置空间的混合Hodge数字的生成函数。
In the theory of configuration spaces, "splitting" usually refers to the phenomenon that the configuration spaces on a manifold and those on its punctured version are closely related cohomologically. We prove a splitting theorem that is equivariant and mixed-Hodge-theoretic; both are new features in such results. As an application, we determine the generating function for the mixed Hodge numbers of the unordered configuration spaces of a multi-punctured elliptic curve.
