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arXiv · 2604.12679

Kahn-Priddy theorems via the norm

William Balderrama
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Abstract

We revisit the Kahn-Priddy theorem from the perspective of modern equivariant homotopy theory. This allows for a short proof that may be applied in other settings with sufficiently robust analogues of multiplicative norms and the Adams isomorphism. We illustrate this by establishing new Kahn-Priddy theorems in $L_n$ and $L_n^f$-local homotopy theory, motivic homotopy theory, and synthetic homotopy theory.

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William Balderrama. 2026-04-14. Kahn-Priddy theorems via the norm. https://arxiv.org/abs/2604.12679

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