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arXiv · 2510.23602

Genuine $C_n$-equivariant $\mathrm{TMF}$

Ying-Hsuan Lin·Akira Tominaga·Mayuko Yamashita
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Abstract

We determine the $\mathrm{TMF}$-module structures of the genuine $C_2$-equivariant $\mathrm{TMF}$ with $\mathrm{RO}(C_2)$-gradings and of the $C_3$-equivariant $\mathrm{TMF}$. Moreover, we propose a general strategy for studying $C_n$-equivariant $\mathrm{TMF}$ via $U(1)$-equivariant $\mathrm{TMF}$ and a duality phenomenon in equivariant $\mathrm{TMF}$.

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Ying-Hsuan Lin, Akira Tominaga, Mayuko Yamashita. 2025-10-27. Genuine $C_n$-equivariant $\mathrm{TMF}$. https://arxiv.org/abs/2510.23602

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