The $RO(\mathcal{K})$-graded homotopy of Klein-four normed Mackey functors
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866916043890360320 |
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| author | Guillou, Bertrand J. Keyes, Jesse Mehrle, David |
| author_facet | Guillou, Bertrand J. Keyes, Jesse Mehrle, David |
| contents | We compute the $RO(\mathcal{K})$-graded coefficients of the equivariant Eilenberg-Mac Lane spectrum associated to various Hill-Hopkins-Ravenel norms of the constant-$\mathbb{F}_2$ Mackey functor, where $\mathcal{K}$ is the Klein-four group. Further, we analyze the multiplicative structure of these $RO(\mathcal{K})$-graded Tambara functors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_12423 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The $RO(\mathcal{K})$-graded homotopy of Klein-four normed Mackey functors Guillou, Bertrand J. Keyes, Jesse Mehrle, David Algebraic Topology We compute the $RO(\mathcal{K})$-graded coefficients of the equivariant Eilenberg-Mac Lane spectrum associated to various Hill-Hopkins-Ravenel norms of the constant-$\mathbb{F}_2$ Mackey functor, where $\mathcal{K}$ is the Klein-four group. Further, we analyze the multiplicative structure of these $RO(\mathcal{K})$-graded Tambara functors. |
| title | The $RO(\mathcal{K})$-graded homotopy of Klein-four normed Mackey functors |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2507.12423 |