Some secondary differentials on the fourth line of the Adams spectral sequence
type: Item
instance of: scholarly article
title: Some secondary differentials on the fourth line of the Adams spectral sequence
zbMATH Open document ID: 1471.55016
author: Jianguo Hong
author: Linan Zhong
author: Hao Zhao
publication date: 2021-07-28T00:00:00Z
review text: In the \(E_{2}\)-term of the classical Adams spectral sequence, in the first degree \(s=1,2,3\), the generators are known. For the generators of the fourth line \(E_{2}^{4,*}\), only partial results are known. In this paper, the authors detect some nontrivial secondary Adams differentials on the fourth line \(\mathrm{Ext}^{4,*}(\mathbb{Z}/p,\mathrm{Z}/p)\) of the classical Adams spectral sequence by applying cobar constructions and Massey products.
Mathematics Subject Classification ID: 55Q45
Mathematics Subject Classification ID: 55T15
Mathematics Subject Classification ID: 55S10
zbMATH DE Number: 7375766
zbMATH Keywords: stable homotopy groups of spheres
zbMATH Keywords: Adams spectral sequence
zbMATH Keywords: May spectral sequence
zbMATH Keywords: matrix Massey product
reviewed by: Jian Bo Wang
MaRDI profile type: Publication
full work available at URL: s10114-021-0001-x
OpenAlex ID: W3148516922
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DOI: 10.1007/S10114-021-0001-X
published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 7375766