2 citations · 5 across the 7 of their papers we have counts for
7 papers
A classification of the face numbers of Buchsbaum simplicial posets
Jonathan Browder, Steven Klee
The family of Buchsbaum simplicial posets generalizes the family of simplicial cell manifolds. The -vector of a simplicial complex or simplicial poset encodes the combinatorial…
Cellular Resolutions of Ideals Defined by Simplicial Homomorphisms
Benjamin Braun, Jonathan Browder, Steven Klee
In this paper we introduce the class of ordered homomorphism ideals and prove that these ideals admit minimal cellular resolutions constructed as homomorphism complexes. As a key i…
Face Numbers of Certain Cohen-Macaulay Flag Complexes
Jonathan Browder
We show that if a -dimensional Cohen-Macaulay complex is, in a certain sense, sufficiently "close" to being balanced, then there is a -dimensional balanced Cohen-Macaulay com…
Lower Bounds for Buchsbaum* Complexes
Jonathan Browder, Steven Klee
The class of -dimensional Buchsbaum* simplicial complexes is studied. It is shown that the rank-selected subcomplexes of a (completely) balanced Buchsbaum* simplicial comple…
Face numbers of generalized balanced Cohen-Macaulay complexes
Jonathan Browder, Isabella Novik
A common generalization of two theorems on the face numbers of Cohen-Macaulay (CM, for short) simplicial complexes is established: the first is the theorem of Stanley (necessity) a…
Shellable Complexes from Multicomplexes
Jonathan Browder
Suppose a group acts properly on a simplicial complex . Let be the number of -invariant vertices and be the sizes of the -orbits having size gr…