截断Brown—Peterson谱的红移和乘法

IF 5.7 1区数学 Q1 MATHEMATICS

Annals of Mathematics Pub Date : 2020-12-01 DOI:10.4007/annals.2022.196.3.6

Jeremy Hahn, D. Wilson

引用次数: 28

摘要

我们为$\mathrm｛BP｝\langle n\rangle$配备了$\mathbb{E}_3$-$\mathrm{BP}$-代数结构，对于每个素数$p$和高度$n$。这个$\mathbb的代数$K$理论{E}_3$-环的色高恰好为$n+1$。

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Redshift and multiplication for truncated Brown--Peterson spectra

We equip $\mathrm{BP} \langle n \rangle$ with an $\mathbb{E}_3$-$\mathrm{BP}$-algebra structure, for each prime $p$ and height $n$. The algebraic $K$-theory of this $\mathbb{E}_3$-ring is of chromatic height exactly $n+1$.

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来源期刊

Annals of Mathematics 数学-数学

CiteScore

9.10

自引率

2.00%

发文量

审稿时长

12 months

期刊介绍： The Annals of Mathematics is published bimonthly by the Department of Mathematics at Princeton University with the cooperation of the Institute for Advanced Study. Founded in 1884 by Ormond Stone of the University of Virginia, the journal was transferred in 1899 to Harvard University, and in 1911 to Princeton University. Since 1933, the Annals has been edited jointly by Princeton University and the Institute for Advanced Study.