Positive Configuration Space

Positive Configuration Space

Show other versions (1)

Abstract We define and study the totally nonnegative part of the Chow quotient of the Grassmannian, or more simply the nonnegative configuration space. This space has a natural stratification by positive Chow cells, and we show that nonnegative configuration space is homeomorphic to a polytope as a...

Full description

Bibliographic Details
Main Authors: Arkani-Hamed, Nima (Author), Lam, Thomas (Author), Spradlin, Marcus (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Springer Berlin Heidelberg, 2022-02-15T18:07:05Z.
Subjects:
Article
Online Access:Get fulltext
Description
Summary:Abstract We define and study the totally nonnegative part of the Chow quotient of the Grassmannian, or more simply the nonnegative configuration space. This space has a natural stratification by positive Chow cells, and we show that nonnegative configuration space is homeomorphic to a polytope as a stratified space. We establish bijections between positive Chow cells and the following sets: (a) regular subdivisions of the hypersimplex into positroid polytopes, (b) the set of cones in the positive tropical Grassmannian, and (c) the set of cones in the positive Dressian. Our work is motivated by connections to super Yang-Mills scattering amplitudes, which will be discussed in a sequel.
NSF (DMS-1464693)
NSF (DMS-1953852)
DOE (DE-SC0009988)
DOE (DE-SC0010010)

Similar Items