A chain morphism for Adams operations on rational algebraic K-theory
K-Theory and Homology
2009-04-02 v2 Algebraic Geometry
Abstract
For any regular noetherian scheme X and every k>0, we define a chain morphism between two chain complexes whose homology with rational coefficients is isomorphic to the algebraic K-groups of X tensored by the field of rational numbers. It is shown that these morphisms induce in homology the Adams operations defined by Gillet and Soule or the ones defined by Grayson.
Cite
@article{arxiv.0808.3882,
title = {A chain morphism for Adams operations on rational algebraic K-theory},
author = {Elisenda Feliu},
journal= {arXiv preprint arXiv:0808.3882},
year = {2009}
}
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40 pages