Work

K_1 of matroids

Year: 2026

Type: preprint

Abstract: Using the geometric realization spectral sequence and the Serre spectral sequence, we compute $K_1(\operatorname{Mat}_*)$, the first K-theory group of the proto-exact category of pointed matroids, answering a question of Jun, Sistko and Wright.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.15551

Author: Wittich, Thor

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7221748225

Cites: 1

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Related to: 10