The second stable homotopy groups of motivic spheres

TL;DR

This paper computes the second stable homotopy groups of motivic spheres over fields of characteristic not two, linking them to motivic cohomology and hermitian K-groups.

Contribution

It provides a detailed calculation of the 2-line of stable homotopy groups of motivic spheres, a new result in motivic homotopy theory.

Findings

Explicit description of the 2-line of stable homotopy groups

Connection established between motivic homotopy groups and hermitian K-groups

Advancement in understanding motivic spheres over fields of characteristic not two

Abstract

We compute the 2-line of stable homotopy groups of motivic spheres over fields of characteristic not two in terms of motivic cohomology and hermitian K-groups.