On the periodic $v_2$-self-map of $A_1$

TL;DR

This paper proves that the minimal $v_2$ self-map of the 2-local spectrum $A_1$ exhibits 32-periodicity, advancing understanding in stable homotopy theory.

Contribution

It establishes the periodicity of the minimal $v_2$ self-map of $A_1$, a key result in chromatic homotopy theory.

Findings

The minimal $v_2$ self-map of $A_1$ is 32-periodic.

Provides new insights into the structure of $A_1$ in stable homotopy.

Advances the understanding of periodic self-maps in chromatic homotopy theory.

Abstract

We prove that the minimal $v_2$ self-map of the 2-local spectrum $A_1$ is 32 periodic.