Topological models for stable motivic invariants of regular number rings
K-Theory and Homology
2023-06-22 v2 Algebraic Geometry
Abstract
For an infinity of number rings we express stable motivic invariants in terms of topological data determined by the complex numbers, the real numbers, and finite fields. We use this to extend Morel's identification of the endomorphism ring of the motivic sphere with the Grothendieck-Witt ring of quadratic forms to deeper base schemes.
Keywords
Cite
@article{arxiv.2102.01618,
title = {Topological models for stable motivic invariants of regular number rings},
author = {Tom Bachmann and Paul Arne Østvær},
journal= {arXiv preprint arXiv:2102.01618},
year = {2023}
}
Comments
20 pages v2: minor corrections