The η-local motivic sphere

The η-local motivic sphere
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η-局部动机球

DOI:
10.1016/j.jpaa.2015.03.004
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发表时间:
2015
影响因子:
0.8
通讯作者:
Daniel Isaksen
Daniel Isaksen
中科院分区:
数学2区
文献类型:
--
作者:
B. Guillou;Daniel Isaksen

文献摘要

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计算了C上motivic Steenrod代数的h1-局部上同调.这用作亚当斯谱序列的输入,该谱序列计算η-局部动机球的动机稳定同伦群。我们计算了一些亚当斯微分,并对其余的微分提出了一个猜想。
We compute the h 1-localized cohomology of the motivic Steenrod algebra over C. This serves as the input to an Adams spectral sequence that computes the motivic stable homotopy groups of the η-local motivic sphere. We compute some of the Adams differentials, and we state a conjecture about the remaining differentials.