The spectrum of strict units of topological modular forms

Zhenpeng Li; Kiran Luecke

The spectrum of strict units of topological modular forms

Algebraic Topology 2026-07-29 v1

Authors: Zhenpeng Li , Kiran Luecke

Abstract

In the theory of spectral algebraic geometry, few objects receive as much study as the spectrum of topological modular forms. In this paper, we compute the strict units of topological modular forms, defined as the connective cover of the mapping spectrum from $\mathbb{Z}$ to the units spectrum.

Keywords

topological modular forms strict units spectral algebraic geometry connective cover units spectrum

Cite

@article{arxiv.2607.27124,
  title  = {The spectrum of strict units of topological modular forms},
  author = {Zhenpeng Li and Kiran Luecke},
  journal= {arXiv preprint arXiv:2607.27124},
  year   = {2026}
}

Comments

22 pages, comments welcome!