Computing a minimal resolution over the Steenrod algebra

TL;DR

This paper presents an algorithm for computing minimal resolutions over the Steenrod algebra, leveraging knowledge of vanishing lines to improve efficiency and reduce computational complexity.

Contribution

It introduces a novel algorithm that efficiently computes minimal resolutions over the Steenrod algebra by incorporating vanishing line information.

Findings

Algorithm is faster than generic methods.

Reduces computational resources needed.

Successfully computes minimal resolutions for complex cases.

Abstract

We describe an algorithm that allows to compute a minimal resolution of the Steenrod algebra. The algorithm has built-in knowledge about vanishing lines for the cohomology of sub Hopf algebras of the Steenrod algebra which makes it both faster and more economical than the generic approach.