Notes on motivic infinite loop space theory
K-Theory and Homology
2025-03-19 v3 Algebraic Geometry
Algebraic Topology
Abstract
In fall of 2019, the Thursday Seminar at Harvard University studied motivic infinite loop space theory. As part of this, the authors gave a series of talks outlining the main theorems of the theory, together with their proofs, in the case of infinite perfect fields. These are our extended notes on these talks.
Cite
@article{arxiv.1912.06530,
title = {Notes on motivic infinite loop space theory},
author = {Tom Bachmann and Elden Elmanto},
journal= {arXiv preprint arXiv:1912.06530},
year = {2025}
}
Comments
mainly expository; 38 pages; v2: include treatment of strict A1-invariance; v3: remove erroneous claim (Lemma 3.23) and rewrite Section 3.5 to work around this