Abstract
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.
| Original language | English |
|---|---|
| Article number | 64 |
| Journal | Mathematische Zeitschrift |
| Volume | 303 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2023 |
Bibliographical note
Publisher Copyright:© 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
Funding
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.
| Funders | Funder number |
|---|---|
| National Science Foundation Arctic Social Science Program | DMS-1906236 |
| National Natural Science Foundation of China (NSFC) | 11901591 |
| Young Scientists Fund |
ASJC Scopus subject areas
- General Mathematics
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