On uniqueness of characteristic classes

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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.
22 pages; revised version

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K-Theory and Homology, Algebraic Geometry, 19D10

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http://salesiana.dossiersoluciones.com/handle/123456789/165594

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0606244
 http://arxiv.org/abs/math/0606244

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arXiv