拓扑模块形式的 C 动力亚当斯-诺维科夫谱序列

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2024-10-08 DOI:10.1016/j.aim.2024.109966

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

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引用次数: 0

摘要

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

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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来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.