On the homology of the real complement of the \(k\)-parabolic subspace arrangement

DOI10.1016/j.jcta.2012.03.008zbMath1256.52011arXiv1012.3387OpenAlexW2040353668MaRDI QIDQ423655

Jacob A. White, Christopher Severs

Publication date: 4 June 2012

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.3387

zbMATH Keywords

Coxeter groupssubspace arrangementsdiscrete Morse theory

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Reflection groups, reflection geometries (51F15) Combinatorial aspects of simplicial complexes (05E45)

Related Items (2)

Planar pure braids on six strands ⋮ Homomorphism complexes and maximal chains in graded posets

Cites Work

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• Structure of the Malvenuto-Reutenauer Hopf algebra of permutations
• Complexes of directed trees and independence complexes
• Lattices of parabolic subgroups in connection with hyperplane arrangements
• Subspace arrangements of type \(B_ n\) and \(D_ n\)
• The homology of ``\(k\)-equal manifolds and related partition lattices
• On subspace arrangements of type \(\mathcal D\)
• On discrete Morse functions and combinatorial decompositions
• (Discrete) Morse theory on configuration spaces
• Combinatorial Morse theory and minimality of hyperplane arrangements
• The Morse complex of a line arrangement
• $k$-Parabolic subspace arrangements
• Discrete morse theory and the cohomology ring
• Shelling-Type Orderings of Regular CW-Complexes and Acyclic Matchings of the Salvetti Complex
• Combinatorial Stratification of Complex Arrangements
• Linear Decision Trees, Subspace Arrangements, and Mobius Functions
• Shellable Nonpure Complexes and Posets. I
• Combinatorial algebraic topology

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