English

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

Algebraic Topology 2025-10-28 v1 High Energy Physics - Theory

Abstract

We determine the TMF\mathrm{TMF}-module structures of the genuine C2C_2-equivariant TMF\mathrm{TMF} with RO(C2)\mathrm{RO}(C_2)-gradings and of the C3C_3-equivariant TMF\mathrm{TMF}. Moreover, we propose a general strategy for studying CnC_n-equivariant TMF\mathrm{TMF} via U(1)U(1)-equivariant TMF\mathrm{TMF} and a duality phenomenon in equivariant TMF\mathrm{TMF}.

Cite

@article{arxiv.2510.23602,
  title  = {Genuine $C_n$-equivariant $\mathrm{TMF}$},
  author = {Ying-Hsuan Lin and Akira Tominaga and Mayuko Yamashita},
  journal= {arXiv preprint arXiv:2510.23602},
  year   = {2025}
}
R2 v1 2026-07-01T07:08:08.094Z