The motivic cohomology of BSO_n

Abstract

We will determine the motivic cohomology $H^{\ast ,\ast }(BS{O}_n,Z/2)$ with coefficients in $Z/2$ of the classifying space of special orthogonal groups $S{O}_n$ over the complex numbers $C$.

12 pages

References in corpus (3)

• An exact sequence for Milnor's K-theory with applications to quadratic forms
• On the Chow rings of classifying spaces for classical groups
• The Chow ring of the classifying space $BSO(2n,\mathbb{C})$