2 papers
math.AT2026
Relations in the 24-th homotopy groups of spheres
Toshiyuki Miyauchi, Juno Mukai
The main purpose of this note is to give a proof of the fact that the Toda brackets \ and are not trivial. This is an…
math.AT2024
An Unstable Approach to the May-Lawrence Matrix Toda bracket and the \textit{2}nd James-Hopf Invariant
Juxin Yang, Toshiyuki Miyauchi, Juno Mukai
In this paper, we give an unstable approach of the May-Lawrence matrix Toda bracket, which becomes a useful tool for the theory of determinations of unstable homotopy groups. Then,…