2003/11/16 by Patricia Hersh, Hersh, Patricia
Chemistry · Computer Science · Mathematics · #05A05 #05E25 #Combinatorics (math.CO) #Computational Drug Discovery Methods #FOS: Mathematics #Molecular spectroscopy and chirality #Topological and Geometric Data Analysis #math.CO #msc:05A05 #msc:05E25
paper · pdf · doi:10.48550/arxiv.math/0311271
arxiv created 2003/11/16 · openalex publication_date 2003/11/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper verifies a conjecture of Edelman and Reiner regarding the homology of the h-complex of a Boolean algebra. A discrete Morse function with no low-dimensional critical cells is constructed, implying a lower bound on connectivity. This together with an Alexander duality result of Edelman and Reiner implies homology-vanishing also in high dimensions. Finally, possible generalizations to certain classes of supersolvable lattices are suggested.