Thomas Wanner
Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, Virginia 22030, USA

 

ConleyDynamics.jl: A Julia package for multivector dynamics on Lefschetz complexes

imgpub/998_multivectorex.jpg imgpub/998_cubicalcircles2.jpg imgpub/998_allencahn3d.jpg

  1. Thomas Wanner:
    ConleyDynamics.jl: A Julia package for multivector dynamics on Lefschetz complexes
    Software Package, in preparation, 2024.

Abstract

This is a Julia package for studying combinatorial multivector fields using Conley theory. The multivector fields can be studied on arbitrary Lefschetz complexes, which include both simplicial and cubical complexes as important special cases. The concept of combinatorial multivector field generalizes Forman vector fields, which were originally introduced to study Morse theory in a discrete combinatorial setting.

The package is still under active development, but it can be accessed from my GitHub account at https://github.com/almost6heads/ConleyDynamics.jl. The documentation can be found here. Please contact me with any comments and suggestions.