Alan Stapledon

most citedWeighted Ehrhart Theory and Orbifold Cohomology

3 citations · 3 across the 3 of their papers we have counts for

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math.CO2008

Ehrhart Theory for Lawrence Polytopes and Orbifold Cohomology of Hypertoric Varieties

Alan Stapledon

We establish a connection between the orbifold cohomology of hypertoric varieties and the Ehrhart theory of Lawrence polytopes. More specifically, we show that the dimensions of th…

math.CO2008

Inequalities and Ehrhart $δ$ -Vectors

Alan Stapledon

For any lattice polytope $P$ , we consider an associated polynomial $δ ˉ_{P} (t)$ and describe its decomposition into a sum of two polynomials satisfying certain symmetry condition…

math.CO2007★ 3 cited

Weighted Ehrhart Theory and Orbifold Cohomology

Alan Stapledon

We introduce the notion of a weighted $δ$ -vector of a lattice polytope. Although the definition is motivated by motivic integration, we study weighted $δ$ -vectors from a combinator…

Ehrhart Theory for Lawrence Polytopes and Orbifold Cohomology of Hypertoric Varieties

Inequalities and Ehrhart δ-Vectors

Weighted Ehrhart Theory and Orbifold Cohomology

Inequalities and Ehrhart $δ$ -Vectors