Four Families of Nontrivial Product Elements in the Stable Homotopy Groups of Spheres

Linan Zhong , Jianguo Hong , Hao Zhao

Chinese Annals of Mathematics, Series B ›› 2022, Vol. 43 ›› Issue (3) : 459 -472.

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Chinese Annals of Mathematics, Series B ›› 2022, Vol. 43 ›› Issue (3) : 459 -472. DOI: 10.1007/s11401-022-0335-4
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Four Families of Nontrivial Product Elements in the Stable Homotopy Groups of Spheres

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Abstract

In this paper, the authors introduce a new effective method to compute the generators of the E 1-term of the May spectral sequence. This helps them to obtain four families of non-trivial product elements in the stable homotopy groups of spheres.

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Stable homotopy groups of spheres / Adams spectral sequence / May spectral sequence

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Linan Zhong, Jianguo Hong, Hao Zhao. Four Families of Nontrivial Product Elements in the Stable Homotopy Groups of Spheres. Chinese Annals of Mathematics, Series B, 2022, 43(3): 459-472 DOI:10.1007/s11401-022-0335-4

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