Symmetries on plabic graphs and associated polytopes
From MaRDI portal
Publication:1636145
DOI10.1016/j.crma.2018.05.003zbMath1423.14275arXiv1804.03587OpenAlexW2964239928MaRDI QIDQ1636145
Publication date: 4 June 2018
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.03587
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Grassmannians, Schubert varieties, flag manifolds (14M15) Planar graphs; geometric and topological aspects of graph theory (05C10) Cluster algebras (13F60)
Related Items
Crystal structures on FFLV polytopes ⋮ Combinatorial mutations of Newton-Okounkov polytopes arising from plabic graphs
Cites Work
- Unnamed Item
- Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
- PBW filtration and bases for irreducible modules in type \({\text{\textsf{A}}}_{n}\)
- Gelfand-Tsetlin polytopes and Feigin-Fourier-Littelmann-Vinberg polytopes as marked poset polytopes
- Matching polytopes, toric geometry, and the totally non-negative Grassmannian.
- Two poset polytopes
- Newton-Okounkov bodies, cluster duality, and mirror symmetry for Grassmannians
- A Formula for Plucker Coordinates Associated with a Planar Network
- Convex bodies associated to linear series
- On cluster theory and quantum dilogarithm identities