Torsion in the matching complex and chessboard complex

DOI10.1016/j.aim.2006.10.014zbMath1117.05110arXivmath/0409054OpenAlexW2139771308MaRDI QIDQ884431

John Shareshian, Michelle L. Wachs

Publication date: 6 June 2007

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409054

zbMATH Keywords

homology

Mathematics Subject Classification ID

Related Items (31)

Topology of bounded-degree graph complexes. ⋮ Representation stability for syzygies of line bundles on Segre-Veronese varieties ⋮ Generalized chessboard complexes and discrete Morse theory ⋮ More Torsion in the Homology of the Matching Complex ⋮ Connectivity at infinity for state spaces of complete bipartite graphs ⋮ Simplicial complexes of triangular Ferrers boards ⋮ Star clusters in independence complexes of graphs ⋮ General polygonal line tilings and their matching complexes ⋮ MANIFOLD MATCHING COMPLEXES ⋮ The graph minor theorem in topological combinatorics ⋮ On the homotopy type of multipath complexes ⋮ A characterization of two-dimensional Buchsbaum matching complexes ⋮ Beyond the Borsuk–Ulam Theorem: The Topological Tverberg Story ⋮ On the 3-torsion part of the homology of the chessboard complex ⋮ Multiple chessboard complexes and the colored Tverberg problem ⋮ Filtered matchings and simplicial complexes ⋮ Exact sequences for the homology of the matching complex ⋮ Matching complexes of small grids ⋮ Certain homology cycles of the independence complex of grids ⋮ Chessboard complexes indomitable ⋮ On the (co)homology of the poset of weighted partitions ⋮ The clique operator on matching and chessboard graphs ⋮ Cycle-free chessboard complexes and symmetric homology of algebras ⋮ Five-torsion in the homology of the matching complex on 14 vertices ⋮ Shelling Coxeter-like complexes and sorting on trees ⋮ Higher matching complexes of complete graphs and complete bipartite graphs ⋮ Bounded degree complexes of forests ⋮ Top homology of hypergraph matching complexes, \(p\)-cycle complexes and Quillen complexes of symmetric groups. ⋮ Matching complexes of trees and applications of the matching tree algorithm ⋮ Optimal bounds for the colored Tverberg problem ⋮ Matching complexes of polygonal line tilings

Cites Work

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• Decompositions and connectivity of matching and chessboard complexes
• Homology of certain sets of 2-subgroups of symmetric groups
• The colored Tverberg's problem and complexes of injective functions
• On the Betti numbers of chessboard complexes
• Complexes of not \(i\)-connected graphs
• Shellability of chessboard complexes
• Morse theory for cell complexes
• Topology of matching, chessboard, and general bounded degree graph complexes
• Chessboard Complexes and Matching Complexes
• Complexes of Directed Graphs
• Shellable Nonpure Complexes and Posets. I
• Simplicial Complexes of Graphs and Hypergraphs with a Bounded Covering Number

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