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K_1 of matroids

Thor Wittich

Source record

Source: arXiv

Published: Oct 11, 2026

arXiv: 2610.15551

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Source abstract

Using the geometric realization spectral sequence and the Serre spectral sequence, we compute K1(Mat⁡∗)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.

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K_1 of matroids — Mathematical Frontier Network