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arXiv · 2502.03141

The duality resolution at $n=p=2$

Agnès Beaudry·Irina Bobkova·Hans-Werner Henn
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Abstract

Working at the prime $2$ and chromatic height $2$, we construct a finite resolution of the homotopy fixed points of Morava $E$-theory with respect to the subgroup $\mathbb{G}_2^1$ of the Morava stabilizer group. This is an upgrade of the finite resolution of the homotopy fixed points of $E$-theory with respect to the subgroup $\mathbb{S}_2^1$ constructed in work of Goerss-Henn-Mahowald-Rezk, Beaudry and Bobkova-Goerss.

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Agnès Beaudry, Irina Bobkova, Hans-Werner Henn. 2025-02-05. The duality resolution at $n=p=2$. https://arxiv.org/abs/2502.03141

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