2025/01/16 by Younghan Yoon, Yoon, Younghan
Mathematics · #14M25 #14P25 #20F55 #55U10 #57S12 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2501.09496
openalex publication_date 2025/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Type A and type B permutohedral varieties are classic examples of mathematics, and their topological invariants are well known. This naturally leads to the investigation of the topology of their real loci, known as type A and type B real permutohedral varieties. The rational cohomology rings of type A real permutohedral varieties are fully described in terms of alternating permutations. Until now, only rational Betti numbers of type B real permutohedral varieties have been described in terms of B-snakes. In this paper, we explicitly describe the multiplicative structure of the cohomology rings of type B real permutohedral varieties in terms of B-snakes.