An Atiyah-Hirzebruch spectral sequence for KR-theory
Abstract:
There is an infamous `motivic spectral sequence' connecting motivic
cohomology to algebraic K-theory. In this paper we construct an
analog in the context of Z/2-equivariant homotopy theory: it connects
RO(G)-graded Eilenberg-MacLane cohomology, based on the constant
Mackey functor with Z coefficients, to Atiyah's KR-theory. The
approach centers on constructing a certain kind of Postnikov tower
for the equivariant space ZxBU.