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Some torsion classes in the Chow ring and cohomology of BPGLn
Journal of the London Mathematical Society ( IF 1.2 ) Pub Date : 2020-07-18 , DOI: 10.1112/jlms.12368
Xing Gu 1
Affiliation  

In the integral cohomology ring of the classifying space of the projective linear group P G L n (over C ), we find a collection of p ‐torsion classes y p , k of degree 2 ( p k + 1 + 1 ) for any odd prime divisor p of n , and k 0 . If, in addition, p 2 n , there are p ‐torsion classes ρ p , k of degree p k + 1 + 1 in the Chow ring of the classifying stack of P G L n , such that the cycle class map takes ρ p , k to y p , k . We present an application of the above classes regarding Chern subrings.

中文翻译:

约克夏环和BPGLn同调中的一些扭转类

在射影线性群分类空间的积分同调环中 P G 大号 ñ (过度 C ),我们找到了 p 扭转类 ÿ p ķ 2 p ķ + 1个 + 1个 对于任何奇数除数 p ñ ķ 0 。此外,如果 p 2 ñ , 有 p 扭转类 ρ p ķ p ķ + 1个 + 1个 在分类堆栈的Chow环中 P G 大号 ñ ,这样循环类图就可以 ρ p ķ ÿ p ķ 。我们介绍了有关Chern子环的上述类的应用。
更新日期:2020-07-18
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