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arXiv · 1108.4495

Steenrod operations on bar complex

Syunji Moriya
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Abstract

We define a chain map of the form $\E(k)\otimes BA^{\otimes k}\longrightarrow BA$, where $\E$ is a combinatorial $E_\infty$-operad called the sequence operad, and $BA$ is the bar complex of an $\E$-algebra $A$. We see that Steenrod-type operations derived from the chain map are equal to the corresponding operations on the cohomology of the based loop space under an isomorphism.

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Syunji Moriya. 2011-08-23. Steenrod operations on bar complex. https://arxiv.org/abs/1108.4495

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