论文标题
$ \ mathbb {r}^r $上的广义配置空间的共同配置空间
Cohomology of generalised configuration spaces of points on $\mathbb{R}^r$
论文作者
论文摘要
我们计算$ \ mathbb {r}^r $中的普遍类型的配置空间的共同体戒指。该配置空间由图形索引。在图表完成的情况下，结果是已知的，并且是由于Arnold和Cohen所致。但是，我们的计算对任何图表和经典结果的替代证明都提供了概括。此外，我们表明此共同学环有缺失的简短精确序列。
We compute the cohomology ring of a generalised type of configuration space of points in $\mathbb{R}^r$. This configuration space is indexed by a graph. In the case the graph is complete the result is known and it is due to Arnold and Cohen. However, our computations give a generalisation to any graph and an alternative proof of the classical result. Moreover, we show that there are deletion-contraction short exact sequences for this cohomology rings.
