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On uniqueness of characteristic classes

Elisenda Feliu
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Abstract

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.

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Elisenda Feliu. 2008-07-24. On uniqueness of characteristic classes. https://arxiv.org/abs/math/0606244

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