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arXiv · 2603.18288

On the K-theory of matroids with Tutte coverings

Luigi Caputi·Sabino Di Trani
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Abstract

The aim of this work is to explicitly compute the K-theory of the category of matroids with respect to the covering family of Tutte coverings. In particular, we show that this is equivalent to the K-theory spectrum of the category of graphic matroids on looped forests, with the covering family generated by isomorphisms. Further, we show that this yields an equivalence of $C_2$-spectra.

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Luigi Caputi, Sabino Di Trani. 2026-03-18. On the K-theory of matroids with Tutte coverings. https://arxiv.org/abs/2603.18288

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