Classical stable homotopy groups of spheres via $\mathbb{F}_2$-synthetic methods

TL;DR

This paper uses $F_2$-synthetic methods to advance the computation of classical stable homotopy groups of spheres, providing new insights and data relevant to algebraic topology.

Contribution

It introduces $F_2$-synthetic techniques to compute stable homotopy groups, bridging motivic and classical perspectives.

Findings

New computational data on $C$-motivic stable homotopy groups

Enhanced understanding of classical stable homotopy groups

Development of $F_2$-synthetic Adams spectral sequence

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.