English

$C_2$-equivariant topological modular forms

Algebraic Topology 2022-04-05 v3

Abstract

We compute the homotopy groups of the C2C_2 fixed points of equivariant topological modular forms at the prime 22 using the descent spectral sequence. We then show that as a TMF\mathrm{TMF}-module, it is isomorphic to the tensor product of TMF\mathrm{TMF} with an explicit finite cell complex.

Keywords

Cite

@article{arxiv.2101.06841,
  title  = {$C_2$-equivariant topological modular forms},
  author = {Dexter Chua},
  journal= {arXiv preprint arXiv:2101.06841},
  year   = {2022}
}

Comments

v3: Published in Journal of Homotopy and Related Structures v2: Added appendix on connective equivariant tmf. Minor adjustments

R2 v1 2026-06-23T22:15:23.100Z