Minimal resolutions and the homology of matching and chessboard complexes

DOI10.1023/A:1008728115910zbMath1012.13005MaRDI QIDQ1575098

Victor Reiner, Joel L. Roberts

Publication date: 15 February 2001

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

simplicial complexesCohen-Macaulay moduleschessboard complexesmatching complexesgraded minimal free resolutions

Mathematics Subject Classification ID

Related Items (19)

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 ⋮ Characteristic Dependence of Syzygies of Random Monomial Ideals ⋮ On the homotopy type of complexes of graphs with bounded domination number ⋮ Equivariant resolutions over Veronese rings ⋮ An Explicit, Characteristic-Free, Equivariant Homology Equivalence Between Koszul Complexes ⋮ The Koszul homology algebra of the second Veronese is generated by the lowest strand ⋮ On the 3-torsion part of the homology of the chessboard complex ⋮ Exact sequences for the homology of the matching complex ⋮ Vertex decomposability of complexes associated to forests ⋮ Chessboard complexes indomitable ⋮ Matching complexes, bounded degree graph complexes, and weight spaces of \(\mathrm{GL}_n\)-complexes ⋮ 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

Cites Work

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