Rigid Matroid Categories
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Accesso online: | |
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| _version_ | 1866929265552916480 |
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| author | Purbhoo, Kevin |
| author_facet | Purbhoo, Kevin |
| contents | We consider three forms of composition of matroids, each of which extends the category of bimatroids to a rigid monoidal category. Many well-known constructions are functorial or defined by morphisms in these categories. Motivating examples include: deletion and contraction, 2-sum, series and parallel connections, the Tutte polynomial, gammoids, positroids, matroids representable over an infinite field, M-convex sets, and matroids associated to stable polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03365 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rigid Matroid Categories Purbhoo, Kevin Combinatorics 05B35 We consider three forms of composition of matroids, each of which extends the category of bimatroids to a rigid monoidal category. Many well-known constructions are functorial or defined by morphisms in these categories. Motivating examples include: deletion and contraction, 2-sum, series and parallel connections, the Tutte polynomial, gammoids, positroids, matroids representable over an infinite field, M-convex sets, and matroids associated to stable polynomials. |
| title | Rigid Matroid Categories |
| topic | Combinatorics 05B35 |
| url | https://arxiv.org/abs/2403.03365 |