Combinatorial relative algebraic K-theory

2025/06/11 by Turner, Jane
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)

paper · pdf · doi:10.48550/arxiv.2506.09905

openalex publication_date 2025/06/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In a preprint released in 2016, Daniel Grayson introduces a conjectural presentation of the (higher) relative algebraic K-groups using purely combinatorial means. In this paper, we will show that this presentation is isomorphic to the classically defined higher relative algebraic K-groups, and provide some reasons to believe the conjecture posed in this 2016 preprint to be true.

Citations

• Relative algebraic K-theory by elementary means

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