A distinguished subring of the Chow ring and cohomology of $BPGL_n$

Xing Gu

A distinguished subring of the Chow ring and cohomology of $BPGL_n$

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arxiv 2012.00199 v3 pith:TAKZ67S2 submitted 2020-12-01 math.AG math.AT

Xing Gu This is my paper · ORCID

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keywords bpglchowringcohomologylinearsubringadditionchern

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abstract

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 $PGL_n$.

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