Detection of a nontrivial product in the stable homotopy groups of spheres
Detection of a nontrivial product in the stable homotopy groups of spheres
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DOI：
10.2140/agt.2013.13.3009
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发表时间：
2013-07
影响因子：
0.7
通讯作者：
L. Zhong;Yu-yu Wang
中科院分区：
文献类型：
--
作者：
L. Zhong;Yu-yu Wang
设\(S\)是在奇素数\(p\)处局部化的球谱，设\(A\)是模\(p\)的斯廷罗德代数。确定球的稳定同伦群\(\pi_*S\)是同伦论中的核心问题之一。研究这个问题的主要工具之一是亚当斯谱序列（ASS）\(E_2 = \text{Ext}_A^{s,t}(\mathbb{Z}/p,\mathbb{Z}/p)\Rightarrow \pi_{t - s}S\)，其中\(E_2\)项是\(A\)的上同调，并且亚当斯微分是\(d_r:E_r\rightarrow E_{r - 1}\)（原文此处似乎不完整）。
Let S be the sphere spectrum localized at an odd prime p and let A be the mod p Steenrod algebra. To determine the stable homotopy groups of spheres S is one of the central problems in homotopy theory. One of the main tools for investigating this problem is the Adams spectral sequence (ASS) E 2 D Ext A .Zp;Zp/) t sS , where the E 2 –term is the cohomology of A and the Adams differential is dr W E r !