English

Connective Models for Topological Modular Forms of Level $n$

Algebraic Topology 2023-11-15 v2

Abstract

The goal of this article is to construct and study connective versions of topological modular forms of higher level like tmf1(n)\mathrm{tmf}_1(n). In particular, we use them to realize Hirzebruch's level-nn genus as a map of ring spectra.

Keywords

Cite

@article{arxiv.2104.12649,
  title  = {Connective Models for Topological Modular Forms of Level $n$},
  author = {Lennart Meier},
  journal= {arXiv preprint arXiv:2104.12649},
  year   = {2023}
}

Comments

27 pages; v2: added several clarifications and minor correcionts in response to referee's comments, final version to appear in AGT

R2 v1 2026-06-24T01:31:43.594Z