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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…
math.CO2024
Convex Geometry of Building Sets
Spencer Backman, Richard Danner
Building sets were introduced in the study of wonderful compactifications of hyperplane arrangement complements and were later generalized to finite meet-semilattices. Convex geome…