K_1 of matroids — Draconitic Research

Abstract

Using the geometric realization spectral sequence and the Serre spectral sequence, we compute K₁(Mat_*), the first K-theory group of the proto-exact category of pointed matroids, answering a question of Jun, Sistko and Wright.

Cite

BibTeX RIS

BibTeX

@misc{wittich2026matroids,
  title = {{K_1 of matroids}},
  author = {Thor Wittich},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.15551},
  eprint = {2610.15551},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.15551},
}

RIS

TY  - UNPB
TI  - K_1 of matroids
AU  - Thor Wittich
PY  - 2026
DA  - 2026/10/11
PB  - arXiv
DO  - 10.48550/arxiv.2610.15551
UR  - https://arxiv.org/abs/2610.15551
AB  - Using the geometric realization spectral sequence and the Serre spectral sequence, we compute K_1(Mat_*), the first K-theory group of the proto-exact category of pointed matroids, answering a question of Jun, Sistko and Wright.
ER  -