Algebraic G-theory in motivic homotopy categories
Algebraic Geometry
2019-04-09 v3 K-Theory and Homology
Abstract
We prove that algebraic G-theory in is representable in unstable and stable motivic homotopy categories; in the stable category we identify it with the Borel-Moore theory associated to algebraic K-theory, and show that such an identification is compatible with the functorialities defined by Quillen and Thomason.
Keywords
Cite
@article{arxiv.1806.03927,
title = {Algebraic G-theory in motivic homotopy categories},
author = {Fangzhou Jin},
journal= {arXiv preprint arXiv:1806.03927},
year = {2019}
}
Comments
18 pages