论文标题
与$ a_n $相关的复曲安排的共同体学
Cohomology of the toric arrangement associated with $A_n$
论文作者
论文摘要
我们通过该组的“扭曲”动作的固定点理论来计算与根系$ a_n $相关的复曲面布置补充的总共同体。我们还提供了一些明确的公式的证明,用于与$ a_n $相关的圆环布置的补充。
We compute the total cohomology of the complement of the toric arrangement associated to the root system $A_n$ as a representation of the corresponding Weyl group via fixed point theory of a "twisted" action of the group. We also provide several proofs of an explicit formula for the Poincaré polynomial of the complement of the toric arrangement associated with $A_n$.