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arXiv · 2101.06841

$C_2$-equivariant topological modular forms

Dexter Chua
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Abstract

We compute the homotopy groups of the $C_2$ fixed points of equivariant topological modular forms at the prime $2$ using the descent spectral sequence. We then show that as a $\mathrm{TMF}$-module, it is isomorphic to the tensor product of $\mathrm{TMF}$ with an explicit finite cell complex.

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Dexter Chua. 2021-01-18. $C_2$-equivariant topological modular forms. https://doi.org/10.1007/s40062-021-00297-1

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