Gaku Liu

collaborators

2 papers

math.CO2023

$h$ -vector inequalities under weak maps

Gaku Liu, Alexander Mason

We study the behavior of $h$ -vectors associated to matroid complexes under weak maps, or inclusions of matroid polytopes. Specifically, we show that the $h$ -vector of the order com…

math.CO2021

Unimodular triangulations of sufficiently large dilations

Gaku Liu

An integral polytope is a polytope whose vertices have integer coordinates. A unimodular triangulation of an integral polytope in $R^{d}$ is a triangulation in which all sim…

h-vector inequalities under weak maps

Unimodular triangulations of sufficiently large dilations

$h$ -vector inequalities under weak maps