MORAVA K-THEORY AND FILTRATIONS BY POWERS

IF 1.1 2区数学 Q1 MATHEMATICS

Journal of the Institute of Mathematics of Jussieu Pub Date : 2021-11-11 DOI:10.1017/s1474748023000233

T. Barthel, Piotr Pstrągowski

引用次数: 3

Abstract

We prove the convergence of the Adams spectral sequence based on Morava K-theory and relate it to the filtration by powers of the maximal ideal in the Lubin–Tate ring through a Miller square. We use the filtration by powers to construct a spectral sequence relating the homology of the K-local sphere to derived functors of completion and express the latter as cohomology of the Morava stabiliser group. As an application, we compute the zeroth limit at all primes and heights.

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莫拉瓦K理论与幂过滤

基于Morava k理论证明了Adams谱序列的收敛性，并将其与Lubin-Tate环上的极大理想通过Miller平方的幂滤波联系起来。我们利用幂滤波构造了k局部球与派生的补全函子的同调的谱序列，并将后者表示为Morava稳定群的上同调。作为一个应用，我们计算了所有质数和高度的零极限。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of the Institute of Mathematics of Jussieu 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Institute of Mathematics of Jussieu publishes original research papers in any branch of pure mathematics; papers in logic and applied mathematics will also be considered, particularly when they have direct connections with pure mathematics. Its policy is to feature a wide variety of research areas and it welcomes the submission of papers from all parts of the world. Selection for publication is on the basis of reports from specialist referees commissioned by the Editors.