A motivic analogue of the K(1)-local sphere spectrum

William Balderrama, Kyle Ormsby, J. D. Quigley

We identify the motivic $KGL/2$-local sphere as the fiber of ${\psi }^3-1$ on $(2,\eta )$-completed Hermitian $K$-theory, over any base scheme containing $1/2$. This is a motivic analogue of…