An $\mathbb{R}$-motivic $v_1-$self-map of periodicity $1$

Prasit Bhattacharya, Bertrand Guillou, Ang Li

We consider a nontrivial action of ${\mathrm{C}}_2$ on the type $1$ spectrum $\mathcal{Y}:={\mathrm{M}}_2(1)\wedge \mathrm{C}(\eta )$, which is well-known for admitting a $1$-periodic $…