Combinatorial relative algebraic $K$-theory
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Accesso online: | |
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| _version_ | 1866908404611547136 |
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| author | Turner, Jane |
| author_facet | Turner, Jane |
| contents | In a preprint released in 2016, Daniel Grayson introduces a conjectural presentation of the (higher) relative algebraic $K$-groups using purely combinatorial means. In this paper, we will show that this presentation is isomorphic to the classically defined higher relative algebraic $K$-groups, and provide some reasons to believe the conjecture posed in this 2016 preprint to be true. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09905 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Combinatorial relative algebraic $K$-theory Turner, Jane K-Theory and Homology In a preprint released in 2016, Daniel Grayson introduces a conjectural presentation of the (higher) relative algebraic $K$-groups using purely combinatorial means. In this paper, we will show that this presentation is isomorphic to the classically defined higher relative algebraic $K$-groups, and provide some reasons to believe the conjecture posed in this 2016 preprint to be true. |
| title | Combinatorial relative algebraic $K$-theory |
| topic | K-Theory and Homology |
| url | https://arxiv.org/abs/2506.09905 |