论文标题
配置空间的Euler特征
The Euler characteristic of configuration spaces
论文作者
论文摘要
In this short note we present a generating function computing the compactly supported Euler characteristic $χ_c(F(X, n), K^{\boxtimes n})$ of the configuration spaces on a topologically stratified space $X$, with $K$ a constructible complex of sheaves on $X$, and we obtain as a special case a generating function for the Euler characteristic $χ(F(X, n))$.我们还回想起如何使用现有结果将Euler特征的计算转变为对euler特征的计算。
In this short note we present a generating function computing the compactly supported Euler characteristic $χ_c(F(X, n), K^{\boxtimes n})$ of the configuration spaces on a topologically stratified space $X$, with $K$ a constructible complex of sheaves on $X$, and we obtain as a special case a generating function for the Euler characteristic $χ(F(X, n))$. We also recall how to use existing results to turn our computation of the Euler characteristic into a computation of the equivariant Euler characteristic.
