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Level structures on p-divisible groups from the Morava E-theory of abelian groups

Producción científica: Articlerevisión exhaustiva

Resumen

The close relationship between the scheme of level structures on the universal deformation of a formal group and the Morava E-cohomology of finite abelian groups has played an important role in the study of power operations for Morava E-theory. The goal of this paper is to explore the relationship between level structures on the p-divisible group given by the trivial extension of the universal deformation by a constant p-divisible group and the Morava E-cohomology of the iterated free loop space of the classifying space of a finite abelian group.

Idioma originalEnglish
Número de artículo64
PublicaciónMathematische Zeitschrift
Volumen303
N.º3
DOI
EstadoPublished - mar 2023

Nota bibliográfica

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.

Financiación

We thank the referee for several helpful comments. We thank Charles Rezk for getting both of us interested in this subject. We also thank Jeremy Hahn for useful conversations. We thank Tobias Barthel, Bert Guillou, and Tomer Schlank for helpful comments on the paper. The first author is supported by the Young Scientists Fund of the National Natural Science Foundation of China (Grant No. 11901591). The second author is supported by NSF Grant DMS-1906236 as well as a Sloan Research Fellowship.

FinanciadoresNúmero del financiador
National Science Foundation Arctic Social Science ProgramDMS-1906236
National Natural Science Foundation of China (NSFC)11901591
Young Scientists Fund

    ASJC Scopus subject areas

    • General Mathematics

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