On the K-theory of matroids with Tutte coverings

The aim of this work is to explicitly compute the ๐พ-theory of the category of matroids with respect to the covering family of Tutte coverings.In particular, we show that this is equivalent (as ๐ธ โˆžring spectra) to the ๐พ-theory of the category of graphic matroids on looped forests, with the covering family generated by isomorphisms.

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Publication Details

Journal
Canadian Mathematical Bulletin
Published
2026-11-06
DOI
https://doi.org/10.4153/s0008439526102835
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

On the K-theory of matroids with Tutte coverings

Luigi Caputi, Sabino Di Trani
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Canadian Mathematical Bulletin
Homotopy and Cohomology in Algebraic Topology
article

On the K-theory of matroids with Tutte coverings

Luigi Caputi, Sabino Di Trani
article en

Abstract

The aim of this work is to explicitly compute the ๐พ-theory of the category of matroids with respect to the covering family of Tutte coverings.In particular, we show that this is equivalent (as ๐ธ โˆžring spectra) to the ๐พ-theory of the category of graphic matroids on looped forests, with the covering family generated by isomorphisms.

Canadian Mathematical Bulletin
Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni
Openalex Percentile: Top 78%
Homotopy and Cohomology in Algebraic Topology
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On the K-theory of matroids with Tutte coverings โ€” Luigi Caputi, Sabino Di Trani ยท Canadian Mathematical Bulletin (2026) | TGRS Research Map | TGRS