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

Published 16 Jul 2025 in math.AT | (2507.12423v1)

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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