The spectrum of strict units of topological modular forms

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.

23 pages; erroneous group cohomology calculation fixed and more details on $K(1)$-local cases added. Comments welcome!