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Eulerian quasisymmetric functions and poset topology
John Shareshian, Michelle L. Wachs
We introduce a family of quasisymmetric functions called {\em Eulerian quasisymmetric functions}, which have the property of specializing to enumerators for the joint distribution…
On Sequentially Cohen-Macaulay Complexes and Posets
Anders Björner, Michelle Wachs, Volkmar Welker
The classes of sequentially Cohen-Macaulay and sequentially homotopy Cohen-Macaulay complexes and posets are studied. First, some different versions of the definitions are discusse…
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…
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"…