13 citations · 27 across the 16 of their papers we have counts for
4 papers · 1 filter
A Polytopal Realization of Higher-Categorical Associahedra
Spencer Backman, Nathaniel Bottman, Daria Poliakova
We describe a polytopal realization of categorical -associahedra. The normal fan of this polytopal realization is a modification of the authors' velocity fan and was found by Op…
Higher-Categorical Associahedra
Spencer Backman, Nathaniel Bottman, Daria Poliakova
The second author introduced 2-associahedra as a tool for investigating functoriality properties of Fukaya categories, and he conjectured that they could be realized as face posets…
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 …
The 2-associahedra are Eulerian
Nathaniel Bottman, Dylan Mavrides
We show that the 2-associahedra are Eulerian, by exploiting their recursive structure.