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| A ωn-Related Family of Homotopy Elements in the Stable Homotopy of Spheres |
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Citation： |
Xiugui LIU,Jianming XIAO,Da ZHENG.A ωn-Related Family of Homotopy Elements in the Stable Homotopy of Spheres[J].Chinese Annals of Mathematics B,2018,39(5):849~860 |
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Net amount： 1500 |
Authors： |
Xiugui LIU; Jianming XIAO;Da ZHENG |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (No.11571186). |
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| Abstract： |
To determine the stable homotopy groups of spheres $\pi_*(S)$ is one
of the central problems in homotopy theory. Let $p$ be a prime
greater than $5$. The authors make use of the May spectral sequence
and the Adams spectral sequence to prove the existence of a
$\varpi_n$-related family of homotopy elements,
$\beta_1\omega_n\gamma_{s}$, in the stable homotopy groups of
spheres, where $n>3$, $3\leq s |
Keywords： |
Stable homotopy groups of spheres, Adams spectral sequence, May spectral sequence |
Classification： |
55Q45 |
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