English

Algebraic EHP sequences

Algebraic Topology 2016-01-01 v1

Abstract

The James fibrations give rise to the geometric EHP sequences of homotopy groups of spheres. Using techniques from the Lambda algebra, \cite{BCKQRS66} shows that there are similar long exact sequences of Ext groups defining the E2E_{2}-page of the Bousfield-Kan spectral sequence (also known as the unstable Adams spectral sequence) computing homotopy groups of spheres. In this paper, we give another proof for this phenomenon.

Keywords

Cite

@article{arxiv.1512.09304,
  title  = {Algebraic EHP sequences},
  author = {The Cuong Nguyen},
  journal= {arXiv preprint arXiv:1512.09304},
  year   = {2016}
}
R2 v1 2026-06-22T12:20:56.328Z