2012/11/24 by Matthew S. Miller, Miller, Matthew S., Max Wakefield +1
Mathematics · #16E45 #52C35 #Advanced Combinatorial Mathematics #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1211.5678
openalex publication_date 2012/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We define a monoid structure on the set of k-equal arrangements and use this structure to define limits of braid arrangements. We compute the cohomology of the associated limits of rational models of the arrangements complex complements. We collect these complexes together into one complex by creating a new differential and product on their direct sum and show that the resulting complex is exact.