On framed triangulations of flow polytopes, the \(\nu\)-Tamari lattice and Young's lattice

zbMath1504.52015MaRDI QIDQ2680923

Martha Yip, Francisco A. Mayorga Cetina, Rafael S. González D'León, Matias von Bell

Publication date: 5 January 2023

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2021/42.html

zbMATH Keywords

triangulationYoung's latticeflow polytope\(\nu\)-Dyck path\(\nu\)-Tamari lattice

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20)

Related Items (1)

Column-convex matrices, \(G\)-cyclic orders, and flow polytopes

Cites Work

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• Rational parking functions and Catalan numbers
• Kostant partitions functions and flow polytopes
• Schröder combinatorics and \(\nu\)-associahedra
• Signature Catalan combinatorics
• Volumes and Ehrhart polynomials of flow polytopes
• On flow polytopes, order polytopes, and certain faces of the alternating sign matrix polytope
• Pipe Dream Complexes and Triangulations of Root Polytopes Belong Together
• Geometry of $\nu $-Tamari lattices in types $A$ and $B$
• A combinatorial model for computing volumes of flow polytopes
• The enumeration of generalized Tamari intervals

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