The Tamari lattice, thought as a poset on the set of triangulations of a convex polygon with n vertices, generalizes to the higher Stasheff-Tamari orders on the set of triangulations of a cyclic d-dimensional polytope having n vertices. This survey discusses what is known about these orders, and what one would like to know about them.
|Original language||English (US)|
|Title of host publication||Progress in Mathematics|
|Number of pages||40|
|State||Published - 2012|
|Name||Progress in Mathematics|