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

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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Bibliographic Details
Published in:Chinese annals of mathematics. Serie B 2022-05, Vol.43 (3), p.459-472
Main Authors: Zhong, Linan, Hong, Jianguo, Zhao, Hao
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematics
Mathematics and Statistics
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Description
Summary: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.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-022-0335-4