Classical and motivic Adams charts

TL;DR

This paper presents comprehensive Adams charts for computing 2-complete stable homotopy groups in both classical and motivic contexts, providing highly accurate and extensive data up to certain stems.

Contribution

It provides the most complete and accurate Adams charts for classical and motivic stable homotopy groups to date, including new partial results.

Findings

Classical Adams charts are highly accurate up to the 61-stem.

Motivic Adams charts are included for the cofiber of tau.

Charts cover stable homotopy groups through the 70-stem with partial data.

Abstract

This document contains large-format Adams charts that compute 2-complete stable homotopy groups, both in the classical context and in the motivic context over C. The charts are essentially complete through the 61-stem and contain partial results to the 70-stem. In the classical context, we believe that these are the most accurate charts of their kind. We also include Adams charts for the motivic homotopy groups of the cofiber of tau.