Topological modular forms with level structure: Decompositions and duality

Lennart Meier

doi:10.1090/tran/8514

Topological modular forms with level structure: Decompositions and duality

Lennart Meier^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

Topological modular forms with level structure were introduced in full generality by Hill and Lawson. We will show that these decompose additively in many cases into a few simple pieces and give an application to equivariant TMF. Furthermore, we show which Tmf₁(n) are self-Anderson dual up to a shift, both with and without their natural C₂-action.

Original language	English
Pages (from-to)	1305-1355
Number of pages	51
Journal	Transactions of the American Mathematical Society
Volume	375
Issue number	2
DOIs	https://doi.org/10.1090/tran/8514
Publication status	Published - 2022

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© 2021 by Lennart Meier

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Topological modular forms with level structure: Decompositions and duality

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