6 citations · 24 across the 19 of their papers we have counts for
4 papers · 1 filter
Poset homology of Rees products, and -Eulerian polynomials
John Shareshian, Michelle L. Wachs
The notion of Rees product of posets was introduced by Björner and Welker, where they study connections between poset topology and commutative algebra. Björner and Welker conjectur…
Eulerian quasisymmetric functions
John Shareshian, Michelle L. Wachs
We introduce a family of quasisymmetric functions called {\em Eulerian quasisymmetric functions}, which specialize to enumerators for the joint distribution of the permutation stat…
Top homology of hypergraph matching complexes, -cycle complexes and Quillen complexes of symmetric groups
John Shareshian, Michelle L Wachs
We investigate the representation of a symmetric group on the homology of its Quillen complex at a prime . For homology groups in small codimension, we derive an explicit…
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…