Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, EpiSciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Journal articles

The Borel character

Abstract : The main purpose of this article is to define a quadratic analogue of the Chern character, the so-called Borel character, that identifies rational higher Grothendieck-Witt groups with a sum of rational Milnor-Witt (MW)-motivic cohomologies and rational motivic cohomologies. We also discuss the notion of ternary laws due to Walter, a quadratic analogue 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.
Complete list of metadata
Contributor : Frédéric Déglise Connect in order to contact the contributor
Submitted on : Monday, December 6, 2021 - 11:46:13 AM
Last modification on : Sunday, June 26, 2022 - 3:22:57 AM

Links full text



Frédéric Déglise, Jean Fasel. The Borel character. Journal of the Institute of Mathematics of Jussieu, Cambridge University Press (CUP), 2021, pp.1-51. ⟨10.1017/S1474748021000281⟩. ⟨ensl-03466895⟩



Record views