The higher Stasheff‐Tamari posets
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Publication:4895411
DOI10.1112/S0025579300011633zbMath0854.06003OpenAlexW2111265140MaRDI QIDQ4895411
Victor Reiner, Paul H. Edelman
Publication date: 14 October 1996
Published in: Mathematika (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1112/s0025579300011633
homotopycyclic polytopesStasheff polytopesTamari latticebistellar operationsTamari posetstriangulations of a convex \(n\)-gon
Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Combinatorics of partially ordered sets (06A07)
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The first higher Stasheff-Tamari orders are quotients of the higher Bruhat orders, The Tamari block lattice: an order on saturated chains in the Tamari lattice, Möbius functions of lattices, Parallel enumeration of triangulations, New interpretations of the higher Stasheff-Tamari orders, A suspension lemma for bounded posets, \(SB\)-labelings and posets with each interval homotopy equivalent to a sphere or a ball, Tamari lattices, forests and Thompson monoids, A type-B associahedron., Recursive constructions for the higher Stasheff-Tamari orders in dimension three using the outer Tamari and Tamari block posets, A Simple Algorithm to Triangulate a Special Class of 3d Non-convex Polyhedra Without Steiner Points, Fiber polytopes for the projections between cyclic polytopes, The generalized Baues problem for cyclic polytopes. I, On subdivision posets of cyclic polytopes, Triangulations and canonical forms of amplituhedra: a fiber-based approach beyond polytopes, Higher-dimensional cluster combinatorics and representation theory, Persistent graphs and cyclic polytope triangulations, The first higher Stasheff-Tamari orders are quotients of the higher Bruhat orders
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