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arXiv · 1611.06958

Power operations for $\text{H}\underline{\mathbb{F}}_2$ and a cellular construction of $\text{BP}\mathbf{R}$

Dylan Wilson
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Abstract

We study some power operations for ordinary $C_2$-equivariant homology with coefficients in the constant Mackey functor $\underline{\mathbb{F}}_2$. In addition to a few foundational results, we calculate the action of these power operations on a $C_2$-equivariant dual Steenrod algebra. As an application, we give a cellular construction of the $C_2$ equivariant Brown-Peterson spectrum $\text{BP}\mathbf{R}$ and deduce its slice tower.

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BibTeXRIS

Dylan Wilson. 2016-11-21. Power operations for $\text{H}\underline{\mathbb{F}}_2$ and a cellular construction of $\text{BP}\mathbf{R}$. https://arxiv.org/abs/1611.06958

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