More Torsion in the Homology of the Matching Complex

DOI10.1080/10586458.2010.10390629zbMath1247.05271arXiv1203.5658OpenAlexW2087202577MaRDI QIDQ2911511

Jakob Jonsson

Publication date: 31 August 2012

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

Full work available at URL: https://arxiv.org/abs/1203.5658

zbMATH Keywords

torsion subgroupmatching complexsimplicial homology

Mathematics Subject Classification ID

Simplicial sets and complexes in algebraic topology (55U10) Group actions on combinatorial structures (05E18)

Related Items

Characteristic Dependence of Syzygies of Random Monomial Ideals ⋮ Matching and independence complexes related to small grids ⋮ The graph minor theorem in topological combinatorics ⋮ On the homotopy type of multipath complexes ⋮ On the 3-torsion part of the homology of the chessboard complex ⋮ Filtered matchings and simplicial complexes

Cites Work

• Torsion in the matching complex and chessboard complex
• Exact sequences for the homology of the matching complex
• Five-torsion in the homology of the matching complex on 14 vertices
• Grothendieck groups of subcategories
• Minimal resolutions and the homology of matching and chessboard complexes
• Laplacian and homology of free two-step nilpotent Lie algebras
• Representation-theoretic interpretation of a formula of D. E. Littlewood