The Borel character
Algebraic Geometry
2020-04-13 v2
Abstract
The main purpose of this article is to define a quadratic analog of the Chern character, the so-called Borel character, which identifies rational higher Grothendieck-Witt groups with a sum of rational MW-motivic cohomologies and rational motivic cohomologies. We also discuss the notion of ternary laws due to Walter, a quadratic analog of formal group laws, and compute what we call the additive ternary laws, associated with MW-motivic cohomology. Finally, we provide an application of the Borel character by showing that the Milnor-Witt K-theory of a field F embeds into suitable higher Grothendieck-Witt groups of F modulo explicit torsion.
Cite
@article{arxiv.1903.11679,
title = {The Borel character},
author = {Frédéric Déglise and Jean Fasel},
journal= {arXiv preprint arXiv:1903.11679},
year = {2020}
}
Comments
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