The Adams spectral sequence for the image-of-$J$ spectrum
Algebraic Topology
2022-05-31 v3
Abstract
We show that if we factor the long exact sequence in cohomology of a cofiber sequence of spectra into short exact sequences, then the -differential in the Adams spectral sequence of any one term is related in a precise way to Yoneda composition with the 2-extension given by the complementary terms in the long exact sequence. We use this to give a complete analysis of the Adams spectral sequence for the connective image-of- spectrum, finishing a calculation that was begun by D. Davis in 1975.
Keywords
Cite
@article{arxiv.2105.02601,
title = {The Adams spectral sequence for the image-of-$J$ spectrum},
author = {Robert R. Bruner and John Rognes},
journal= {arXiv preprint arXiv:2105.02601},
year = {2022}
}
Comments
Added odd-primary case; drew differentials in color