The totally nonnegative Grassmannian is a ball
Pavel Galashin, Steven N. Karp, Thomas Lam
Abstract
We prove that three spaces of importance in topological combinatorics are homeomorphic to closed balls: the totally nonnegative Grassmannian, the compactification of the space of electrical networks, and the cyclically symmetric amplituhedron.
Topics & Concepts
GrassmannianCompactification (mathematics)MathematicsPure mathematicsBall (mathematics)CombinatoricsTopology (electrical circuits)Mathematical analysisAdvanced Combinatorial MathematicsTopological and Geometric Data AnalysisGeometric and Algebraic Topology