Combinatorial relative algebraic $K$-theory
K-Theory and Homology
2025-06-12 v1
Abstract
In a preprint released in 2016, Daniel Grayson introduces a conjectural presentation of the (higher) relative algebraic -groups using purely combinatorial means. In this paper, we will show that this presentation is isomorphic to the classically defined higher relative algebraic -groups, and provide some reasons to believe the conjecture posed in this 2016 preprint to be true.
Cite
@article{arxiv.2506.09905,
title = {Combinatorial relative algebraic $K$-theory},
author = {Jane Turner},
journal= {arXiv preprint arXiv:2506.09905},
year = {2025}
}