Higher order complexes of distributive lattices
Johan Strååt · KTH Publication Database DiVA (KTH Royal Institute of Technology) · 2015
This thesis explores higher order complexes over distributive lattices and their properties. Computer programs were written to handle these very complex objects, in particular programs that input posets, transform them to distributive lattices, derive the higher order complex of said lattices and then compute their homology groups and ideally also checks if they are shellable. The results of the computer aided exploration inspired proofs of more general results about second order complexes of distributive lattices.