Germination

Cone (formal languages)

Seed dormancy

Combinatorics

Physics

Stratification (seeds)

Pure mathematics

Mathematics

Biology

Quantum mechanics

Operating system

Bijection

Space (punctuation)

Computer science

Botany

Algorithm

Quotient

Dormancy

Grassmannian

Quotient space (topology)

Bijection, injection and surjection

Polytope

Configuration space

Communications in Mathematical Physics

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.

Positive Configuration Space