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$C_2$-equivariant topological modular forms (2101.06841v3)

Published 18 Jan 2021 in math.AT

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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