论文标题
$ bpgl_n $的Chow Ring和共同体的杰出划线
A distinguished subring of the Chow ring and cohomology of $BPGL_n$
论文作者
论文摘要
我们确定了$ bpgl_n $的杂志环和同时组的缩写，这是$ n $ $ n $的投射线性群体的分类空间，并解释了该计算可能在周期索引问题中发挥作用的方式。此外，我们表明$ bpgl_n $的食物环不是由$ pgl_n $的线性表示的Chern类生成的。
We determine a subring of the Chow ring and the cohomology of $BPGL_n$, the classifying space of the projective linear group of degree $n$ over complex numbers, and explain a way in which this computation might play a role in the period-index problem. In addition, we show that the Chow ring of $BPGL_n$ is not generated by the Chern classes of linear representations of $PGL_n$.
