Volume 13, issue 2 (2013)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 17
Issue 6, 3213–3852
Issue 5, 2565–3212
Issue 4, 1917–2564
Issue 3, 1283–1916
Issue 2, 645–1281
Issue 1, 1–643

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
The $\mathbb{G}_m$–equivariant motivic cohomology of Stiefel varieties

Ben Williams

Algebraic & Geometric Topology 13 (2013) 747–793
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 GLn with a general Gm–action; this coincides with the equivariant higher Chow groups. The motivic cohomology of PGLn and some of the equivariant motivic cohomology of a Stiefel variety, V m(An), with a general Gm–action is deduced as a corollary.

Keywords
Equivariant, Motivic cohomology, Chow group, Fiber-to-base, Stiefel, Projective general linear group
Mathematical Subject Classification 2010
Primary: 19E15
Secondary: 14C15, 18G55
References
Publication
Received: 28 March 2012
Revised: 2 August 2012
Accepted: 6 August 2012
Published: 24 March 2013
Authors
Ben Williams
Department of Mathematics
University of Southern California
Kaprielian Hall
3620 South Vermont Avenue
Los Angeles, CA 90089-2532
USA