1 citations · 1 across the 4 of their papers we have counts for
6 papers
Non-Eulerian Dehn-Sommerville relations
Connor Sawaske, Lei Xue
The classical Dehn--Sommerville relations assert that the -vector of an Eulerian simplicial complex is symmetric. We establish three generalizations of the Dehn--Sommerville rel…
Algebraic -vectors of simplicial complexes through local cohomology, part 1
Connor Sawaske
Given an infinite field and a simplicial complex , a common theme in studying the - and -vectors of has been the consideration of the Hilbert series of th…
Ext and local cohomology modules of face rings of simplicial posets
Connor Sawaske
There are a large number of theorems detailing the homological properties of the Stanley--Reisner ring of a simplicial complex. Here we attempt to generalize some of these results…
Stanley-Reisner rings of simplicial complexes with a free action by an abelian group
Connor Sawaske
We consider simplicial complexes admitting a free action by an abelian group. Specifically, we establish a refinement of the classic result of Hochster describing the local cohomol…
Almost Buchsbaumness of some rings arising from complexes with isolated singularities
Connor Sawaske
We study properties of the Stanley-Reisner rings of simplicial complexes with isolated singularities modulo two generic linear forms. Miller, Novik, and Swartz proved that if a com…
A generalized lower bound theorem for balanced manifolds
Martina Juhnke-Kubitzke, Satoshi Murai, Isabella Novik +1
A simplicial complex of dimension is said to be balanced if its graph is -colorable. Juhnke-Kubitzke and Murai proved an analogue of the generalized lower bound theorem fo…