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math.CT2025
Framed Polytopes and Higher Categories
Guillaume Laplante-Anfossi, Anibal M. Medina-Mardones, Arnau Padrol
In the early 1990s, Kapranov and Voevodsky proposed a geometric method for constructing higher-categorical pasting diagrams from generically framed convex polytopes. This work revi…
math.CT2024
Term rewriting on nestohedra
Pierre-Louis Curien, Guillaume Laplante-Anfossi
We define term rewriting systems on the vertices and faces of nestohedra, and show that the former are confluent and terminating. While the associated posets on vertices generalize…