English

Higher structure in the unstable Adams spectral sequence

Algebraic Topology 2017-09-05 v1

Abstract

We describe a variant construction of the unstable Adams spectral the sequence for a space YY, associated to any free simplicial resolution of H(Y;R)H^*(Y;R) for R=FpR=\mathbb{F}_p or Q\mathbb{Q}. We use this construction to describe the differentials and filtration in the spectral sequence in terms of appropriate systems of higher cohomology operations.

Keywords

Cite

@article{arxiv.1709.00936,
  title  = {Higher structure in the unstable Adams spectral sequence},
  author = {Samik Basu and David Blanc and Debasis Sen},
  journal= {arXiv preprint arXiv:1709.00936},
  year   = {2017}
}
R2 v1 2026-06-22T21:32:22.519Z