Work

The descent spectral sequence for topological modular forms

Year: 2024

Type: preprint

Abstract: We prove the Gap Theorem for the spectrum of topological modular forms $\mathrm{Tmf}$. This removes a longstanding circularity in the literature, thereby confirming the computation of $π_\ast \mathrm{tmf}$ from over two decades ago by Hopkins and Mahowald. Our approach is crucially a modern one, developing and refining many techniques in synthetic spectra.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2412.01640

Authors: Carrick, Christian, Davies, Jack Morgan, van Nigtevecht, Sven

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4405034431

Cites:

Cited by: 1

Related to: 10