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

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

School of Mathematical Sciences,Nanjing Normal University,Nanjing,ChinaSchool of Mathematical Sciences,Zhejiang University,Hangzhou,ChinaSchool of Mathematical Sciences,Peking University,Beijing,ChinaDepartment of Mathematics,University of California San Diego,San Diego,USAShanghai Center for Mathematical Sciences,Fudan University,Shanghai,China

Morava E-theoryTopological modular formsRO(G)-graded homotopy groups

Morava E-theoryTopological modular formsRO(G)-graded homotopy groups

《北京数学杂志(英文)》 2025 (4)

641-710,70

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).

10.1007/s42543-024-00087-7

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