On uniqueness of characteristic classes
K理论与同调
2008-07-24 v2 代数几何
摘要
We give an axiomatic characterization of maps from algebraic K-theory. The results apply to a class of maps from algebraic K-theory to any suitable cohomology theory or to algebraic K-theory, 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 K-theory. We show that the Adams operations defined by Grayson agree with the ones defined by Gillet and Soule.
引用
@article{arxiv.math/0606244,
title = {On uniqueness of characteristic classes},
author = {Elisenda Feliu},
journal= {arXiv preprint arXiv:math/0606244},
year = {2008}
}
备注
22 pages; revised version