The $C_2$-effective spectral sequence for $C_2$-equivariant connective real $K$-theory
Algebraic Topology
2023-11-22 v2 K-Theory and Homology
Abstract
We construct a -equivariant spectral sequence for RO-graded homotopy groups. The construction is by using the motivic effective slice filtration and the -equivariant Betti realization. We apply the spectral sequence to compute the RO-graded homotopy groups of the completed -equivariant connective real -theory spectrum. The computation reproves the -equivariant Adams spectral sequence results by Guillou, Hill, Isaksen and Ravenel.
Keywords
Cite
@article{arxiv.2004.00806,
title = {The $C_2$-effective spectral sequence for $C_2$-equivariant connective real $K$-theory},
author = {Hana Jia Kong},
journal= {arXiv preprint arXiv:2004.00806},
year = {2023}
}
Comments
Corrected typos