3 citations · 3 across the 2 of their papers we have counts for
2 papers
math.CO2022★ 3 cited
Constrainahedra
Nathaniel Bottman, Daria Poliakova
We define a family of convex polytopes called constrainahedra, which index collisions of horizontal and vertical lines. Our construction proceeds by first defining a poset …
math.KT2021
From polytopes to operads and back
Sergey Arkhipov, Daria Poliakova
For a directed polytope, we construct a colored operad whose Poincare-Hilbert series encodes certain operations on the cellular complex of the polytope. We conjecture that for a cl…