Connor Sawaske

activity

20162020

most citedAlmost Buchsbaumness of some rings arising from complexes with isolated singularities

1 citations · 1 across the 4 of their papers we have counts for

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math.CO2020

Non-Eulerian Dehn-Sommerville relations

Connor Sawaske, Lei Xue

The classical Dehn--Sommerville relations assert that the $h$ -vector of an Eulerian simplicial complex is symmetric. We establish three generalizations of the Dehn--Sommerville rel…

math.CO2019

Algebraic $h$ -vectors of simplicial complexes through local cohomology, part 1

Connor Sawaske

Given an infinite field $k$ and a simplicial complex $Δ$ , a common theme in studying the $f$ - and $h$ -vectors of $Δ$ has been the consideration of the Hilbert series of th…

math.CO2016

A generalized lower bound theorem for balanced manifolds

Martina Juhnke-Kubitzke, Satoshi Murai, Isabella Novik +1

A simplicial complex of dimension $d - 1$ is said to be balanced if its graph is $d$ -colorable. Juhnke-Kubitzke and Murai proved an analogue of the generalized lower bound theorem fo…

Non-Eulerian Dehn-Sommerville relations

Algebraic h-vectors of simplicial complexes through local cohomology, part 1

A generalized lower bound theorem for balanced manifolds

Algebraic $h$ -vectors of simplicial complexes through local cohomology, part 1