Classical Stable Homotopy Groups of Spheres via $\mathbb {F}_2$-Synthetic Methods

Abstract

We study the $\mathbb {F}_2$-synthetic Adams spectral sequence. We obtain new computational information about $\mathbb {C}$-motivic and classical stable homotopy groups.

Keywords

Stable homotopy group / Synthetic homotopy theory / Adams spectral sequence

References

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Funding

National Science Foundation(DMS-2202992)

Villum Fonden(Young Investigator Program)

Danish National Research Foundation(Copenhagen center for Geometry and Topology (DNRF151))

RIGHTS & PERMISSIONS

The Author(s)