The positive Dressian equals the positive tropical Grassmannian
From MaRDI portal
Publication:3389396
DOI10.1090/btran/67zbMath1462.05359arXiv2003.10231OpenAlexW3154581526MaRDI QIDQ3389396
David E. Speyer, Lauren K. Williams
Publication date: 10 May 2021
Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.10231
Combinatorial aspects of tropical varieties (14T15) Grassmannians, Schubert varieties, flag manifolds (14M15) Combinatorial aspects of algebraic geometry (05E14)
Related Items
Moduli spaces of codimension-one subspaces in a linear variety and their tropicalization, The 𝑚=2 amplituhedron and the hypersimplex: Signs, clusters, tilings, Eulerian numbers, Tropical positivity and determinantal varieties, Subdivisions of generalized permutahedra, Positive tropical flags and the positive tropical Dressian, Massively parallel computation of tropical varieties, their positive part, and tropical Grassmannians, Color-dressed generalized biadjoint scalar amplitudes: local planarity, The positive Grassmannian, the amplituhedron, and cluster algebras, Schubert matroids, Delannoy paths, and Speyer's invariant, Minimal kinematics: an all \(k\) and \(n\) peek into \(\mathrm{Trop}^+ \mathrm{G}(k,n)\), Positive configuration space
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A topological representation theorem for tropical oriented matroids
- Local tropical linear spaces
- Dressians, tropical Grassmannians, and their rays
- Positively oriented matroids are realizable
- Combinatorial formulas for \(\lrcorner \)-coordinates in a totally nonnegative Grassmannian
- Matching polytopes, toric geometry, and the totally non-negative Grassmannian.
- Triangulations. Structures for algorithms and applications
- A matroid invariant via the \(K\)-theory of the Grassmannian
- Fibers of tropicalization
- How to draw tropical planes
- Coxeter matroids. With illustrations by Anna Borovik
- The Cayley trick, lifting subdivisions and the Bohne-Dress theorem on zonotopal tilings
- Unwinding the amplituhedron in binary
- Tropical convexity
- Free arrangements and rhombic tilings
- Erratum to: Fibers of tropicalization
- Positive configuration space
- Algebraic singularities of scattering amplitudes from tropical geometry
- Combinatorics of the Deodhar decomposition of the Grassmannian
- Scattering equations: from projective spaces to tropical Grassmannians
- The tropical totally positive Grassmannians
- Tropical hyperplane arrangements and oriented matroids
- Links in the complex of weakly separated collections
- Geometry of Chow quotients of Grassmannians
- Generalized planar Feynman diagrams: collections
- GRASSMANNIANS AND CLUSTER ALGEBRAS
- Compactification of the moduli space of hyperplane arrangements
- Positroids and non-crossing partitions
- A Formula for Plucker Coordinates Associated with a Planar Network
- Permutohedra, Associahedra, and Beyond
- Tropical Linear Spaces
- Chow quotients of Grassmannian I
- Oriented Matroids
- The tropical Grassmannian
- On local Dressians of matroids
- Weak separation and plabic graphs
- Theory of Matroids