Realizations of the associahedron and cyclohedron
From MaRDI portal
Publication:2369934
DOI10.1007/s00454-007-1319-6zbMath1125.52011arXivmath/0510614OpenAlexW2019019197MaRDI QIDQ2369934
Christophe Hohlweg, Carsten E. M. C. Lange
Publication date: 21 June 2007
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0510614
Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)
Related Items (61)
Permutree sorting ⋮ Unobstructed Stanley-Reisner degenerations for dual quotient bundles on \(G(2,n)\) ⋮ Universal associahedra ⋮ Non-kissing complexes for gentle algebras ⋮ The diagonal of the operahedra ⋮ Compatibility fans for graphical nested complexes ⋮ Many non-equivalent realizations of the associahedron ⋮ Cambrian Hopf algebras ⋮ Geometric combinatorial algebras: Cyclohedron and simplex ⋮ Lifted generalized permutahedra and composition polynomials ⋮ Permutahedra and generalized associahedra. ⋮ Lattice homomorphisms between weak orders ⋮ Minkowski decomposition of associahedra and related combinatorics ⋮ Hopf Monoids and Generalized Permutahedra ⋮ The extended permutohedron on a transitive binary relation. ⋮ Associahedra for finite‐type cluster algebras and minimal relations between g‐vectors ⋮ Brick polytopes, lattice quotients, and Hopf algebras ⋮ Type cones of permutree fans ⋮ Shard polytopes ⋮ Acyclic reorientation lattices and their lattice quotients ⋮ The brick polytope of a sorting network ⋮ The type \(B\) permutohedron and the poset of intervals as a Tchebyshev transform ⋮ Algebraic structures on graph associahedra ⋮ Celebrating Loday's associahedron ⋮ Combinatorics and topology of Kawai-Lewellen-Tye relations ⋮ Polytopal realizations of finite type \(\mathbf{g}\)-vector fans ⋮ Multitriangulations, pseudotriangulations and primitive sorting networks ⋮ Subword complexes, cluster complexes, and generalized multi-associahedra ⋮ Degenerations to unobstructed Fano Stanley-Reisner schemes ⋮ The diameter of associahedra ⋮ The weak order on integer posets ⋮ The Hopf algebra of diagonal rectangulations. ⋮ Geometric realizations of the accordion complex of a dissection ⋮ The Weak Order on Weyl Posets ⋮ Removahedral congruences versus permutree congruences ⋮ Enumerative properties of grid associahedra ⋮ Coxeter-bicatalan combinatorics ⋮ Geometry of $\nu $-Tamari lattices in types $A$ and $B$ ⋮ Fan Realizations for Some 2-Associahedra ⋮ How I ‘met’ Dov Tamari ⋮ Cambrian acyclic domains: counting \(c\)-singletons ⋮ Cambrian triangulations and their tropical realizations ⋮ Permutrees ⋮ Permutrees ⋮ Associahedra via spines ⋮ A realization of graph associahedra ⋮ Unnamed Item ⋮ Cambrian fans. ⋮ Unnamed Item ⋮ Quotientopes ⋮ Multitriangulations as complexes of star polygons ⋮ Combinatorial generation via permutation languages. II. Lattice congruences ⋮ Polytopal realizations and Hopf algebra structures for lattice quotients of the weak order ⋮ The \(s\)-weak order and \(s\)-permutahedra ⋮ Generalized noncrossing partitions and combinatorics of Coxeter groups ⋮ Deformation cones of graph associahedra and nestohedra ⋮ Type-B generalized triangulations and determinantal ideals ⋮ Vertex barycenter of generalized associahedra ⋮ Brick polytopes of spherical subword complexes and generalized associahedra ⋮ Non-kissing complexes and tau-tilting for gentle algebras ⋮ Fan realizations of type \(A\) subword complexes and multi-associahedra of rank 3
This page was built for publication: Realizations of the associahedron and cyclohedron
