Equivariant and Real Motivic Stable Homotopy Theory, by Po Hu, Igor Kriz, and Kyle Ormsby

In this paper, we set up foundations for motivic equivariant stable homotopy theory with respect to the action of a finite group. As an application, we define a motivic version of Real K-theory. We explore its relation with Hermitian K-theory, and study its properties. This involves proving a new periodicity theorem and also a completion theorem. We also define a motivic version of the Real cobordism spectrum, and prove that it is a Z/2-equivariant motivic E_infty ring spectrum.

Po Hu <po@math.wayne.edu>
Igor Kriz <ikriz@umich.edu>
Kyle Ormsby <ormsby@umich.edu>