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arXiv · 1905.00054

Mod 2 power operations revisited

Dylan Wilson
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Abstract

In this mostly expository note we take advantage of homotopical and algebraic advances to give a modern account of power operations on the mod 2 homology of $\mathbb{E}_{\infty}$-ring spectra. The main advance is a quick proof of the Adem relations utilizing the Tate-valued Frobenius as a homotopical incarnation of the total power operation. We also give a streamlined derivation of the action of power operations on the dual Steenrod algebra.

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Dylan Wilson. 2019-04-30. Mod 2 power operations revisited. https://doi.org/10.2140/agt.2023.23.2993

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