7 citations · 8 across the 6 of their papers we have counts for
6 papers
Groebner basis degree bounds on $\Tor^{k[Λ]}_\bullet(k,k)_\bullet$ and discrete Morse theory for posets
Patricia Hersh, Volkmar Welker
The purpose of this paper is twofold. 1. We give combinatorial bounds on the ranks of the groups $\Tor^{R}_\bullet(k,k)_\bullet$ in the case where is an affine semi-grou…
Connectivity of h-complexes
Patricia Hersh
This paper verifies a conjecture of Edelman and Reiner regarding the homology of the -complex of a Boolean algebra. A discrete Morse function with no low-dimensional critical ce…
A Hodge decomposition for the complex of injective words
Phil Hanlon, Patricia Hersh
Reiner and Webb compute the -module structure for the complex of injective words in [RW]. This paper refines their formula by providing a Hodge type decomposition. Along the w…
A partitioning and related properties for the quotient complex
Patricia Hersh
We study the quotient complex as a means of deducing facts about the ring . It is shown in [He] that this quotient complex i…
Multiplicity of the trivial representation in rank-selected homology of the partition lattice
Phil Hanlon, Patricia Hersh
We study the multiplicity of the trivial representation in the symmetric group representations on the (top) homology of the rank-selected partition lattice .…
Lexicographic shellability for balanced complexes
Patricia Hersh
We introduce a notion of lexicographic shellability for pure, balanced boolean cell complexes, modelled after the -shellability criterion of Björner and Wachs for posets and it…