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arXiv · 1207.6170

Relations in the 24-th homotopy groups of spheres

Toshiyuki Miyauchi·Juno Mukai
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Abstract

The main purpose of this note is to give a proof of the fact that the Toda brackets $<\barν,σ,\barν>$ and $<ν,η, \barσ>$ are not trivial. This is an affirmative answer of the second author's Conjecture (Determination of the $P$-image by Toda brackets, Geometry and Topology Monographs 13(2008), 355-383). The second purpose is to show the relation $\barν_7ω_{15}=ν_7σ_{10}κ_{17}$ in $π^7_{31}$.

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Toshiyuki Miyauchi, Juno Mukai. 2012-07-26. Relations in the 24-th homotopy groups of spheres. https://arxiv.org/abs/1207.6170

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