On the Steenrod module structure of $\mathbb{R}$-motivic Spanier-Whitehead duals

Prasit Bhattacharya, Bertrand J. Guillou, Ang Li

The $\mathbb{R}$-motivic cohomology of an $\mathbb{R}$-motivic spectrum is a module over the $\mathbb{R}$-motivic Steenrod algebra ${\mathcal{A}}^{\mathbb{R}}$. In this paper, we des…