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$$C_2$$ C 2 -equivariant topological modular forms

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We compute the homotopy groups of the $$C_2$$ C 2 fixed points of equivariant topological modular forms at the prime 2 using the descent spectral sequence. We then show that… Click to show full abstract

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

Keywords: topological modular; equivariant topological; modular forms

Journal Title: Journal of Homotopy and Related Structures
Year Published: 2022

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