On uniqueness of characteristic classes
Abstract
We give an axiomatic characterization of maps from algebraic Ktheory. The results apply to a class of maps from algebraic Ktheory to any suitable cohomology theory or to algebraic Ktheory, which includes all group morphisms. In particular, we obtain comparison theorems for the Chern character and Chern classes and for the Lambda and Adams operations on higher algebraic Ktheory. We show that the Adams operations defined by Grayson agree with the ones defined by Gillet and Soule.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 2006
 arXiv:
 arXiv:math/0606244
 Bibcode:
 2006math......6244F
 Keywords:

 Mathematics  KTheory and Homology;
 Mathematics  Algebraic Geometry;
 19D10
 EPrint:
 22 pages