Vector-relation configurations and plabic graphs

DOI10.1007/s00029-023-00898-zzbMath1447.05139arXiv1908.06959MaRDI QIDQ2199895

Max Glick, Pavlo Pylyavskyy, Sanjay Ramassamy, Niklas C. Affolter, Unnamed Author

Publication date: 14 September 2020

Published in: Séminaire Lotharingien de Combinatoire, Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06959

zbMATH Keywords

pentagram mapdimer modelplabic graphs

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Grassmannians, Schubert varieties, flag manifolds (14M15) Planar graphs; geometric and topological aspects of graph theory (05C10) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Graph representations (geometric and intersection representations, etc.) (05C62) Signed and weighted graphs (05C22) Cluster algebras (13F60) Discrete differential geometry (53A70)

Related Items (8)

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians ⋮ Dimers, networks, and cluster integrable systems ⋮ Pentagram-type maps and the discrete KP equation ⋮ Spectra of biperiodic planar networks ⋮ Vector-relation configurations and plabic graphs ⋮ Solution of tetrahedron equation and cluster algebras ⋮ Kasteleyn theorem, geometric signatures and KP-II divisors on planar bipartite networks in the disk ⋮ Real regular KP divisors on \({\texttt{M}}\)-curves and totally non-negative Grassmannians

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