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T. Miyauchi

2 papers hereh-index 327 citations15 works total

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  • math.AT2

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2 papers · 1 filter

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 \ ⟨I^ˉ½,I¨ƒ,I^ˉ½⟩ and ⟨I^½,I^⋅,I¨ˉƒ⟩ 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,…

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