The Gm-equivariant Motivic Cohomology of Stiefel Varieties

Details The Gm-equivariant Motivic Cohomology of Stiefel Varieties The Gm-equivariant Motivic Cohomology of Stiefel Varieties

2012-03-26

arxiv.org/abs/1203.5584v1

Mathematics

K-Theory and Homology

Scientific paper

We derive a version of the Rothenberg-Steenrod, fiber-to-base, spectral sequence for cohomology theories represented in model categories of simplicial presheaves. We then apply this spectral sequence to calculate the equivariant motivic cohomology of the general linear group with a general Gm-action, this coincides with the equivariant higher Chow groups. Some of the equivariant motivic cohomology of a Stiefel variety with a general Gm-action is deduced as a corollary.

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