Norms of Generalized Mackey and Tambara Functors
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910613905604608 |
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| author | Spitz, Ben |
| author_facet | Spitz, Ben |
| contents | Let $G$ be a finite group. A $G$-Tambara functor can be defined as a product-preserving functor $\mathcal{P}_G \to \mathsf{Set}$ (satisfying one additional condition), where $\mathcal{P}_G$ is a category that is constructed in a straightforward way from the category of finite $G$-sets.
By replacing the category of finite $G$-sets with other categories, we obtain a more general notion of "Tambara functor". This more general notion subsumes the notion of motivic Tambara functors introduced by Bachmann. In this article, we extend a result of Hoyer about $G$-Tambara functors to this more general context. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_13131 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Norms of Generalized Mackey and Tambara Functors Spitz, Ben Algebraic Topology 18D15 Let $G$ be a finite group. A $G$-Tambara functor can be defined as a product-preserving functor $\mathcal{P}_G \to \mathsf{Set}$ (satisfying one additional condition), where $\mathcal{P}_G$ is a category that is constructed in a straightforward way from the category of finite $G$-sets. By replacing the category of finite $G$-sets with other categories, we obtain a more general notion of "Tambara functor". This more general notion subsumes the notion of motivic Tambara functors introduced by Bachmann. In this article, we extend a result of Hoyer about $G$-Tambara functors to this more general context. |
| title | Norms of Generalized Mackey and Tambara Functors |
| topic | Algebraic Topology 18D15 |
| url | https://arxiv.org/abs/2409.13131 |