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RO(G)-Graded Homotopy Fixed Point Spectral Sequence for Height 2 Morava E-Theory

Zhipeng Duan Hana Jia Kong Guchuan Li Yunze Lu Guozhen Wang

北京数学杂志（英文）2025，Vol.8Issue(4)：641-710,70.

北京数学杂志（英文）2025，Vol.8Issue(4)：641-710,70.DOI:10.1007/s42543-024-00087-7

RO(G)-Graded Homotopy Fixed Point Spectral Sequence for Height 2 Morava E-Theory

Zhipeng Duan ¹Hana Jia Kong ²Guchuan Li ³Yunze Lu ⁴Guozhen Wang⁵

作者信息

1. School of Mathematical Sciences,Nanjing Normal University,Nanjing,China
2. School of Mathematical Sciences,Zhejiang University,Hangzhou,China
3. School of Mathematical Sciences,Peking University,Beijing,China
4. Department of Mathematics,University of California San Diego,San Diego,USA
5. Shanghai Center for Mathematical Sciences,Fudan University,Shanghai,China
折叠

摘要

关键词

Morava E-theory/Topological modular forms/RO(G)-graded homotopy groups

Key words

Morava E-theory/Topological modular forms/RO(G)-graded homotopy groups

引用本文复制引用

Zhipeng Duan,Hana Jia Kong,Guchuan Li,Yunze Lu,Guozhen Wang..RO(G)-Graded Homotopy Fixed Point Spectral Sequence for Height 2 Morava E-Theory[J].北京数学杂志（英文）,2025,8(4):641-710,70.

基金项目

The authors would like to thank Agnès Beaudry,Mark Behrens,Paul Goerss,Bert Guillou,XiaoLin Danny Shi,Zhouli Xu,and Mingcong Zeng for helpful conversations.We would also like to thank the anonymous referees for their careful reading and the many useful suggestions.The second author was supported by the National Science Foundation under Grant No.DMS-1926686.The third author is grateful to the Max Planck Institute for Mathematics in Bonn for its hospitality and financial support.The fifth author is partially supported by grant NSFC-12226002,the Shanghai Rising-Star Program under Agreement No.20QA1401600,and Shanghai Pilot Program for Basic Research-Fudan University 21TQ1400100(21TQ002). （21TQ002）

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