Krishna
Title: The Gm-equivariant Motivic Cohomology of Stiefel Varieties Authors: Ben Williams http://front.math.ucdavis.edu/1203.5584 Categories: math.KT K-Theory and Homology (math.AG Algebraic Geometry) Abstract: 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.
nLab page on Equivariant higher Chow groups