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math.CO2004★ 1 cited
Torsion in the Matching Complex and Chessboard Complex
John Shareshian, Michelle L. Wachs
Topological properties of the matching complex were first studied by Bouc in connection with Quillen complexes, and topological properties of the chessboard complex were first stud…
math.CO2004
Geometrically constructed bases for homology of partition lattices of types A, B and D
Anders Björner, Michelle L. Wachs
We use the theory of hyperplane arrangements to construct natural bases for the homology of partition lattices of types A, B and D. This extends and explains the "splitting basis"…