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arXiv · 2301.06776

On the Homotopy Groups of the Suspended Quaternionic Projective Plane and Applications

Juxin Yang·Juno Mukai·Jie Wu
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Abstract

In this paper, we determined the $2,3$-components of the homotopy groups $\pi _{r+k}(\Sigma ^{k}\mathbb{H}P^{2})$ for all $ 7\leq r\leq15$ and all $\;k\geq0$, especially for the unstable ones. And we gave the applications, including the classification theorems of the 1-connected CW complexes having CW types of the suspended $\mathbb{H} P^{3}$ localized at 3 , and the decompositions of the suspended self smashes.

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Juxin Yang, Juno Mukai, Jie Wu. 2023-01-17. On the Homotopy Groups of the Suspended Quaternionic Projective Plane and Applications. https://doi.org/10.2140/agt.2025.25.2981

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