16 citations · 55 across the 28 of their papers we have counts for
33 papers
Complexes of pattern-avoiding injective words
Sergi Elizalde, Philip Hanlon, Patricia Hersh
The complex of injective words is a cell complex that arises in a number of different areas. It has applications to proving homological stability and to the study of group cohomolo…
Stability and ribbon bases for the rank-selected homology of geometric lattices
Patricia Hersh, Sheila Sundaram
This paper analyzes the representation theoretic stability, in the sense of Thomas Church and Benson Farb, of the rank-selected homology of the Boolean lattice and the partition la…
Extended Weak Order for the Rank 3 Universal Coxeter Group
Grant Barkley, Colin Defant, Patricia Hersh +3
The weak order is a classical poset structure on a Coxeter group; it is a lattice when the group is finite but merely a meet-semilattice when the group is infinite. Motivated by pr…
Poset topology, moves, and Bruhat interval polytope lattices
Christian Gaetz, Patricia Hersh
We study the poset topology of lattices arising from orientations of 1-skeleta of directionally simple polytopes, with Bruhat interval polytopes as our main example. We s…
Diameter bound for facet-ridge incidence graphs of geometric lattices
Patricia Hersh, John Machacek
This paper proves that the facet-ridge incidence graph of the order complex of any finite geometric lattice of rank has diameter at most . A key ingredient is th…
Generalized recursive atom ordering and equivalence to CL-shellability
Patricia Hersh, Grace Stadnyk
Björner and Wachs introduced CL-shellability as a technique for studying the topological structure of order complexes of partially ordered sets (posets). They also introduced the n…