The slice spectral sequence for KR-theory

Abstract

The slice filtration for equivariant spectra, and the accompanying slice spectral sequence, was developed by Hill, Hopkins, and Ravenel in their celebrated solution of the Kervaire invariant one problem. Using Hill, Hopkins, and Ravenel's framework, we describe the slice spectral sequence for Atiyah's KR-theory. This spectral sequence was first studied by Dugger, who called it an Atiyah-Hirzebruch spectral sequence for KR-theory, within a slightly different framework.