The $E(1)$-local Picard graded homotopy groups of the sphere spectrum at the prime two

IF 0.5 4区数学 Q3 MATHEMATICS

Hiroshima Mathematical Journal Pub Date : 2020-07-01 DOI:10.32917/hmj/1595901623

Ryo Kato

引用次数: 0

Abstract

A bstract . Let E ð 1 Þ be the ﬁrst Johnson-Wilson spectrum at the prime two. In this paper, we calculate the homotopy groups of the E ð 1 Þ -localized sphere spectrum with a grading over the Picard group of the stable homotopy category of E ð 1 Þ -local spectra.

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素数二上球谱的$E（1）$-局部Picard分次同伦群

摘要。设E abl 1Þ是素数二处的第一个Johnson-Wilson谱。在本文中，我们计算了E？1？-局部谱的稳定同伦范畴的Picard群上的具有分级的E？1Þ-局部球谱的同伦群。

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

Hiroshima Mathematical Journal 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Hiroshima Mathematical Journal (HMJ) is a continuation of Journal of Science of the Hiroshima University, Series A, Vol. 1 - 24 (1930 - 1960), and Journal of Science of the Hiroshima University, Series A - I , Vol. 25 - 34 (1961 - 1970). Starting with Volume 4 (1974), each volume of HMJ consists of three numbers annually. This journal publishes original papers in pure and applied mathematics. HMJ is an (electronically) open access journal from Volume 36, Number 1.