The C-motivic Adams-Novikov spectral sequence for topological modular forms

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-08 DOI:10.1016/j.aim.2024.109966

Daniel C. Isaksen , Hana Jia Kong , Guchuan Li , Yangyang Ruan , Heyi Zhu

引用次数: 0

Abstract

We analyze the

C

-motivic (and classical) Adams-Novikov spectral sequence for the

C

-motivic modular forms spectrum mmf (and for the classical topological modular forms spectrum tmf). We primarily use purely algebraic techniques, with a few exceptions. Along the way, we settle a previously unresolved detail about the multiplicative structure of the homotopy groups of tmf.

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拓扑模块形式的 C 动力亚当斯-诺维科夫谱序列

我们分析了 C-动机模形式谱 mmf（以及经典拓扑模形式谱 tmf）的 C-动机（和经典）亚当斯-诺维科夫谱序列。我们主要使用纯代数技术，只有少数例外。在此过程中，我们解决了一个关于 tmf 同调群的乘法结构的悬而未决的细节问题。

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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.