On the Chow ring of the classifying stack of PGL_3

Abstract

We compute generators for the Chow ring of the classifying space of PGL_3 (over the complex numbers) as defined by Totaro. We also find enough relations after inverting 3. We show that this ring is not generated by Chern classes (this is the first example of this kind among classical groups) and prove that Totaro's refined cycle class map to a quotient of complex cobordism of BPGL_3 is surjective

42 pages; TOC file (run LaTeX 3 times)

References in corpus (2)

• Characteristic classes in the Chow ring
• The Chow Ring of the Hilbert Scheme of Rational Normal Curves