A note on the second James-Hopf invariant
Algebraic Topology
2026-06-28 v1
Abstract
This paper characterizes the stabilized second James-Hopf invariant by means of three axioms. Specifically, we show that it is the unique natural transformation satisfying the Cartan formula, vanishing on suspensions, and a metastable EHP property. The proof combines the natural stable splitting of the James construction with Goodwillie calculus.
Cite
@article{arxiv.2606.29486,
title = {A note on the second James-Hopf invariant},
author = {John R. Klein},
journal= {arXiv preprint arXiv:2606.29486},
year = {2026}
}