English

Topological modular forms with level structure: decompositions and duality

Algebraic Topology 2022-04-04 v3

Abstract

Topological modular forms with level structure were introduced in full generality by Hill and Lawson. We show that these decompose additively in many cases into a few simple pieces and give an application to equivariant TMFTMF. Furthermore, we show which Tmf1(n)Tmf_1(n) are self-Anderson dual up to a shift, both with and without their natural C2C_2-action.

Keywords

Cite

@article{arxiv.1806.06709,
  title  = {Topological modular forms with level structure: decompositions and duality},
  author = {Lennart Meier},
  journal= {arXiv preprint arXiv:1806.06709},
  year   = {2022}
}

Comments

Final version. 55 pages

R2 v1 2026-06-23T02:33:17.927Z