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arXiv:1806.06709 [math.AT]AbstractReferencesReviewsResources

Topological modular forms with level structure: decompositions and duality

Lennart Meier

Published 2018-06-18Version 1

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 $Tmf_1(n)$ are self-Anderson dual up to a shift, both with and without their natural $C_2$-action.

Comments: This supersedes the topological part of arXiv:1609.09264. 50 pages. Comments welcome
Categories: math.AT
Subjects: 55N34, 55U30, 55P91
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