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 with a general –action; this coincides with the equivariant higher Chow groups. The motivic cohomology of and some of the equivariant motivic cohomology of a Stiefel variety, , with a general –action is deduced as a corollary.
Citation
Ben Williams. "The $\mathbb{G}_m$–equivariant motivic cohomology of Stiefel varieties." Algebr. Geom. Topol. 13 (2) 747 - 793, 2013. https://doi.org/10.2140/agt.2013.13.747
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