Low dimensional Milnor-Witt stems over R
Algebraic Topology
2017-01-04 v1
Abstract
This article computes some motivic stable homotopy groups over R. For 0 <= p - q <= 3, we describe the motivic stable homotopy groups of a completion of the motivic sphere spectrum. These are the first four Milnor-Witt stems. We start with the known Ext groups over C and apply the rho-Bockstein spectral sequence to obtain Ext groups over R. This is the input to an Adams spectral sequence, which collapses in our low dimensional range.
Keywords
Cite
@article{arxiv.1502.01007,
title = {Low dimensional Milnor-Witt stems over R},
author = {Daniel Dugger and Daniel C. Isaksen},
journal= {arXiv preprint arXiv:1502.01007},
year = {2017}
}