The software package SpectralSequences

TL;DR

SpectralSequences is a Macaulay2 package that provides tools for working with spectral sequences, including data types, algorithms, and examples, facilitating algebraic computations in this area.

Contribution

The paper introduces a new software package that implements spectral sequence data structures and algorithms within Macaulay2, enabling advanced algebraic computations.

Findings

Implementation of various spectral sequence data types

Algorithms for computing spectral sequence pages and maps

Demonstrations of package capabilities through examples

Abstract

We describe the computer algebra software package SpectralSequences for the computer algebra system Macaulay2. This package implements many data types, objects and algorithms which pertain to, among other things, filtered complexes, spectral sequence pages and maps therein. We illustrate some of the syntax and capabilities of SpectralSequences by way of several examples.