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math.CO2021
Quiver combinatorics for higher-dimensional triangulations
Nicholas J. Williams
We investigate the combinatorics of quivers that arise from triangulations of even-dimensional cyclic polytopes. Work of Oppermann and Thomas pinpoints such quivers as the prototyp…
math.CO2021
The two higher Stasheff-Tamari orders are equal
Nicholas J. Williams
The set of triangulations of a cyclic polytope possesses two a priori different partial orders, known as the higher Stasheff-Tamari orders. The first of these orders was introduced…