Fetching the paper…
Reading the bibliography…
The Dressian and the tropical Grassmannian parameterize abstract and realizable tropical linear spaces; but in general, the Dressian is much larger than the tropical Grassmannian.
From weakly separated collections to matroid subdivisions, 2019
Nick Early · 1910
Earlier work this paper cites.
Theory of matroids
Neil White, editor · 1986
Earlier work this paper cites.
Transversal matroids
Richard A. Brualdi · 1987
Earlier work this paper cites.
Quelques propriétés des matroides orientés
Ilda P.F. da Silva · 1987
Earlier work this paper cites.
Chow quotients of Grassmannians. I
M. M. Kapranov · 1993
Earlier work this paper cites.
Total positivity in reductive groups
G. Lusztig · 1994
Earlier work this paper cites.
Free arrangements and rhombic tilings
P. H. Edelman and V. Reiner · 1996
Earlier work this paper cites.
Oriented matroids
Anders Björner, Michel Las Vergnas, Bernd Sturmfels, Neil White, and Günter M. Ziegler · 1999
Earlier work this paper cites.
The Cayley trick, lifting subdivisions and the Bohne-Dress theorem on zonotopal tilings
Birkett Huber, Jörg Rambau, and Francisco Santos · 2000
Earlier work this paper cites.
The positive tropical grassmannian, the hypersimplex, and the m=2 amplituhedron, 2020
Tomasz Lukowski, Matteo Parisi, and Lauren K. Williams · 2002
Earlier work this paper cites.
Positive configuration space, 2020
Nima Arkani-Hamed, Thomas Lam, and Marcus Spradlin · 2003
Earlier work this paper cites.
Coxeter matroids
Alexandre V. Borovik, I. M. Gelfand, and Neil White · 2003
Earlier work this paper cites.
Tropical convexity
Mike Develin and Bernd Sturmfels · 2004
Earlier work this paper cites.
The tropical grassmannian
David Speyer and Bernd Sturmfels · 2004
Earlier work this paper cites.
The tropical Grassmannian
David Speyer and Bernd Sturmfels · 2004
Earlier work this paper cites.
The Cayley trick and triangulations of products of simplices
Francisco Santos · 2005
Earlier work this paper cites.
The tropical totally positive Grassmannian
David Speyer and Lauren Williams · 2005
Cited alongside, same era.
Compactification of the moduli space of hyperplane arrangements
Paul Hacking, Sean Keel, and Jenia Tevelev · 2006
Cited alongside, same era.
Geometry of Chow quotients of Grassmannians
Sean Keel and Jenia Tevelev · 2006
Cited alongside, same era.
Grassmannians and cluster algebras
Joshua S. Scott · 2006
Cited alongside, same era.
How to draw tropical planes
Sven Herrmann, Anders Nedergaard Jensen, Michael Joswig, and Bernd Sturmfels · 2008
Cited alongside, same era.
Tropical linear spaces
David E. Speyer · 2008
Cited alongside, same era.
A formula for Plücker coordinates associated with a planar network
The amplituhedron
Nima Arkani-Hamed and Jaroslav Trnka · 2014
Later among the works it cites.
Dressians, tropical Grassmannians, and their rays
Sven Herrmann, Michael Joswig, and David E. Speyer · 2014
Later among the works it cites.
Weak separation and plabic graphs
Suho Oh, Alexander Postnikov, and David E. Speyer · 2015
Later among the works it cites.
Positroids and non-crossing partitions
Federico Ardila, Felipe Rincón, and Lauren Williams · 2016
Later among the works it cites.
A topological representation theorem for tropical oriented matroids
Silke Horn · 2016
Later among the works it cites.
Positively oriented matroids are realizable
Federico Ardila, Felipe Rincón, and Lauren Williams · 2017
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Kelli Talaska · 2008
Cited alongside, same era.
Tropical hyperplane arrangements and oriented matroids
Federico Ardila and Mike Develin · 2009
Cited alongside, same era.
Fibers of tropicalization
Sam Payne · 2009
Cited alongside, same era.
Matching polytopes, toric geometry, and the totally non-negative Grassmannian
Alexander Postnikov, David Speyer, and Lauren Williams · 2009
Cited alongside, same era.
A matroid invariant via the K K -theory of the Grassmannian
David E. Speyer · 2009
Cited alongside, same era.
Triangulations
Jesús A. De Loera, Jörg Rambau, and Francisco Santos · 2010
Cited alongside, same era.
Su Ho Oh and David E. Speyer · 2017
Later among the works it cites.
Binary Geometries, Generalized Particles and Strings, and Cluster Algebras
Nima Arkani-Hamed, Song He, Thomas Lam, and Hugh Thomas · 2019
Later among the works it cites.
Generalized Planar Feynman Diagrams: Collections
Francisco Borges and Freddy Cachazo · 2019
Later among the works it cites.
Scattering Equations: From Projective Spaces to Tropical Grassmannians
Freddy Cachazo, Nick Early, Alfredo Guevara, and Sebastian Mizera · 2019
Later among the works it cites.
Algebraic singularities of scattering amplitudes from tropical geometry
James Drummond, Jack Foster, Ömer Gürdogan, and Chrysostomos Kalousios · 2019
Later among the works it cites.
Planar kinematic invariants, matroid subdivisions and generalized Feynman diagrams
Nick Early · 2019
Later among the works it cites.
How tropical are seven- and eight-particle amplitudes?
Niklas Henke and Georgios Papathanasiou · 2019
Later among the works it cites.
Basis shape loci and the positive grassmannian, 2019
Cameron Marcott · 2019
Later among the works it cites.
On local Dressians of matroids
Jorge Alberto Olarte, Marta Panizzut, and Benjamin Schröter · 2019
Later among the works it cites.