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arXiv · 2507.12423

The $RO(\mathcal{K})$-graded homotopy of Klein-four normed Mackey functors

Bertrand J. Guillou·Jesse Keyes·David Mehrle
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Abstract

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.

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Bertrand J. Guillou, Jesse Keyes, David Mehrle. 2025-07-16. The $RO(\mathcal{K})$-graded homotopy of Klein-four normed Mackey functors. https://arxiv.org/abs/2507.12423

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