On the K-theory of matroids with Tutte coverings
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912973702823936 |
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| author | Caputi, Luigi Di Trani, Sabino |
| author_facet | Caputi, Luigi Di Trani, Sabino |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_18288 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the K-theory of matroids with Tutte coverings Caputi, Luigi Di Trani, Sabino K-Theory and Homology Algebraic Topology Combinatorics 19M05, 05B35 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. |
| title | On the K-theory of matroids with Tutte coverings |
| topic | K-Theory and Homology Algebraic Topology Combinatorics 19M05, 05B35 |
| url | https://arxiv.org/abs/2603.18288 |