R-motivic stable stems
Algebraic Topology
2020-01-13 v1
Abstract
We compute some R-motivic stable homotopy groups. For , we describe the motivic stable homotopy groups of a completion of the R-motivic sphere spectrum. We apply the -Bockstein spectral sequence to obtain R-motivic Ext groups from the C-motivic Ext groups, which are well-understood in a large range. These Ext groups are the input to the R-motivic Adams spectral sequence. We fully analyze the Adams differentials in a range, and we also analyze hidden extensions by , 2, and . As a consequence of our computations, we recover Mahowald invariants of many low-dimensional classical stable homotopy elements.
Keywords
Cite
@article{arxiv.2001.03606,
title = {R-motivic stable stems},
author = {Eva Belmont and Daniel C. Isaksen},
journal= {arXiv preprint arXiv:2001.03606},
year = {2020}
}