Chern Classes for Twisted K-theory, by Mark E. Walker

We define a total Chern class map for the K-theory of a variety X twisted by a central simple algebra A. This includes defining a suitable notion of the motivic cohomology of X twisted by A to serve as the target for such a map. Our twisted motivic groups turn out to be different than those defined and studied by Kahn and Levine.


Mark E. Walker <mwalker@math.unl.edu>