具有水平结构的拓扑模形式：分解与对偶
Topological modular forms with level structure: decompositions and duality
摘要：
具有水平结构的拓扑模形式是由Hill和Lawson完全一般性地引入的。我们发现，这些分解添加剂在许多情况下成几个简单的片段，并给出了应用等变$TMF$。此外，我们表明，其中$Tmf_1(n)$是自安德森对偶的转变，无论是有和没有他们的自然$C_2$的行动。
英文摘要：
Topological modular forms with level structure were introduced in full generality by Hill and Lawson. We 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.
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